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35401670112 = 253677177521
BaseRepresentation
bin100000111110000110…
…101001110111100000
310101101012111011202010
4200332012221313200
51040000311420422
624132512352520
72362200142134
oct407606516740
9111335434663
1035401670112
1114017357806
126a3bb45740
1334524cb4c3
1419db9c73c4
15dc2e73b0c
hex83e1a9de0

35401670112 has 96 divisors (see below), whose sum is σ = 95646023424. Its totient is φ = 11460556800.

The previous prime is 35401670107. The next prime is 35401670123. The reversal of 35401670112 is 21107610453.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 35401670112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417912 + ... + 495432.

It is an arithmetic number, because the mean of its divisors is an integer number (996312744).

Almost surely, 235401670112 is an apocalyptic number.

35401670112 is a gapful number since it is divisible by the number (32) 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 35401670112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47823011712).

35401670112 is an abundant number, since it is smaller than the sum of its proper divisors (60244353312).

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

35401670112 is a wasteful number, since it uses less digits than its factorization.

35401670112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77672 (or 77664 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 35401670112 in words is "thirty-five billion, four hundred one million, six hundred seventy thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 71 96 134 142 201 213 268 284 402 426 536 568 804 852 1072 1136 1608 1704 2144 2272 3216 3408 4757 6432 6816 9514 14271 19028 28542 38056 57084 76112 77521 114168 152224 155042 228336 232563 310084 456672 465126 620168 930252 1240336 1860504 2480672 3721008 5193907 5503991 7442016 10387814 11007982 15581721 16511973 20775628 22015964 31163442 33023946 41551256 44031928 62326884 66047892 83102512 88063856 124653768 132095784 166205024 176127712 249307536 264191568 368767397 498615072 528383136 737534794 1106302191 1475069588 2212604382 2950139176 4425208764 5900278352 8850417528 11800556704 17700835056 35401670112