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64141620400 = 245211131121357
BaseRepresentation
bin111011101111001000…
…110111010010110000
320010120010202220212101
4323233020313102300
52022330223323100
645244413310144
74430326530514
oct735710672260
9203503686771
1064141620400
11252252aa840
1210520a95354
136082805650
143166950144
151a0614e86a
hexeef2374b0

64141620400 has 120 divisors (see below), whose sum is σ = 181041006384. Its totient is φ = 21530035200.

The previous prime is 64141620391. The next prime is 64141620401. The reversal of 64141620400 is 402614146.

It is a super-2 number, since 2×641416204002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (64141620401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 503479 + ... + 617878.

Almost surely, 264141620400 is an apocalyptic number.

It is an amenable number.

64141620400 is an abundant number, since it is smaller than the sum of its proper divisors (116899385984).

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

64141620400 is a wasteful number, since it uses less digits than its factorization.

64141620400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121399 (or 1121388 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 64141620400 in words is "sixty-four billion, one hundred forty-one million, six hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 25 26 40 44 50 52 55 65 80 88 100 104 110 130 143 176 200 208 220 260 275 286 325 400 440 520 550 572 650 715 880 1040 1100 1144 1300 1430 2200 2288 2600 2860 3575 4400 5200 5720 7150 11440 14300 28600 57200 1121357 2242714 4485428 5606785 8970856 11213570 12334927 14577641 17941712 22427140 24669854 28033925 29155282 44854280 49339708 56067850 58310564 61674635 72888205 89708560 98679416 112135700 116621128 123349270 145776410 160354051 197358832 224271400 233242256 246698540 291552820 308373175 320708102 364441025 448542800 493397080 583105640 616746350 641416204 728882050 801770255 986794160 1166211280 1233492700 1282832408 1457764100 1603540510 2466985400 2565664816 2915528200 3207081020 4008851275 4933970800 5831056400 6414162040 8017702550 12828324080 16035405100 32070810200 64141620400