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64225626754560 = 293529288369373
BaseRepresentation
bin11101001101001101100011…
…01010110000111000000000
322102101220120100121220211120
432212212301222300320000
531404233040422121220
6344332502352512240
716346101621626645
oct1646466152607000
9272356510556746
1064225626754560
1119511a31a42977
12725343454b680
1329ab5b2004b8b
1411c077344ddcc
157659c8c09a40
hex3a69b1ab0e00

64225626754560 has 160 divisors (see below), whose sum is σ = 212401346113440. Its totient is φ = 16536253267968.

The previous prime is 64225626754519. The next prime is 64225626754591. The reversal of 64225626754560 is 6545762652246.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×642256267545602 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 64225626754494 and 64225626754503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143961967 + ... + 144407406.

It is an arithmetic number, because the mean of its divisors is an integer number (1327508413209).

Almost surely, 264225626754560 is an apocalyptic number.

64225626754560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64225626754560 is an abundant number, since it is smaller than the sum of its proper divisors (148175719358880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64225626754560 is a wasteful number, since it uses less digits than its factorization.

64225626754560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288369428 (or 288369412 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 60.

The spelling of 64225626754560 in words is "sixty-four trillion, two hundred twenty-five billion, six hundred twenty-six million, seven hundred fifty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 232 240 256 290 320 348 384 435 464 480 512 580 640 696 768 870 928 960 1160 1280 1392 1536 1740 1856 1920 2320 2560 2784 3480 3712 3840 4640 5568 6960 7424 7680 9280 11136 13920 14848 18560 22272 27840 37120 44544 55680 74240 111360 222720 288369373 576738746 865108119 1153477492 1441846865 1730216238 2306954984 2883693730 3460432476 4325540595 4613909968 5767387460 6920864952 8362711817 8651081190 9227819936 11534774920 13841729904 16725423634 17302162380 18455639872 23069549840 25088135451 27683459808 33450847268 34604324760 36911279744 41813559085 46139099680 50176270902 55366919616 66901694536 69208649520 73822559488 83627118170 92278199360 100352541804 110733839232 125440677255 133803389072 138417299040 147645118976 167254236340 184556398720 200705083608 221467678464 250881354510 267606778144 276834598080 334508472680 369112797440 401410167216 442935356928 501762709020 535213556288 553669196160 669016945360 738225594880 802820334432 1003525418040 1070427112576 1107338392320 1338033890720 1605640668864 2007050836080 2140854225152 2214676784640 2676067781440 3211281337728 4014101672160 4281708450304 5352135562880 6422562675456 8028203344320 10704271125760 12845125350912 16056406688640 21408542251520 32112813377280 64225626754560