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103888655360 = 210572414097
BaseRepresentation
bin110000011000000111…
…1110001010000000000
3100221011011211111120022
41200300033301100000
53200230443432420
6115420434233012
710335313000100
oct1406017612000
9327134744508
10103888655360
114007148a466
1218174125768
139a48347a49
1450576ad200
152a80818c25
hex18303f1400

103888655360 has 132 divisors (see below), whose sum is σ = 289899243252. Its totient is φ = 35618881536.

The previous prime is 103888655333. The next prime is 103888655393. The reversal of 103888655360 is 63556888301.

It can be written as a sum of positive squares in 2 ways, for example, as 72494485504 + 31394169856 = 269248^2 + 177184^2 .

It is a super-3 number, since 3×1038886553603 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43832 + ... + 457928.

Almost surely, 2103888655360 is an apocalyptic number.

103888655360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103888655360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144949621626).

103888655360 is an abundant number, since it is smaller than the sum of its proper divisors (186010587892).

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

103888655360 is an equidigital number, since it uses as much as digits as its factorization.

103888655360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414136 (or 414111 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 53.

The spelling of 103888655360 in words is "one hundred three billion, eight hundred eighty-eight million, six hundred fifty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 392 448 490 512 560 640 784 896 980 1024 1120 1280 1568 1792 1960 2240 2560 3136 3584 3920 4480 5120 6272 7168 7840 8960 12544 15680 17920 25088 31360 35840 50176 62720 125440 250880 414097 828194 1656388 2070485 2898679 3312776 4140970 5797358 6625552 8281940 11594716 13251104 14493395 16563880 20290753 23189432 26502208 28986790 33127760 40581506 46378864 53004416 57973580 66255520 81163012 92757728 101453765 106008832 115947160 132511040 162326024 185515456 202907530 212017664 231894320 265022080 324652048 371030912 405815060 424035328 463788640 530044160 649304096 742061824 811630120 927577280 1060088320 1298608192 1484123648 1623260240 1855154560 2120176640 2597216384 2968247296 3246520480 3710309120 5194432768 6493040960 7420618240 10388865536 12986081920 14841236480 20777731072 25972163840 51944327680 103888655360