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31352642104 = 2377312236271
BaseRepresentation
bin11101001100110000…
…110101101000111000
32222221000112020111211
4131030300311220320
51003202234021404
622223031532504
72156643026560
oct351460655070
988830466454
1031352642104
1112329827073
1260abb2a134
132c586a1c44
141735d4dda0
15c37766b04
hex74cc35a38

31352642104 has 64 divisors (see below), whose sum is σ = 68171120640. Its totient is φ = 13239832320.

The previous prime is 31352642093. The next prime is 31352642107. The reversal of 31352642104 is 40124625313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31352642107) by changing a digit.

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, 4996489 + ... + 5002759.

It is an arithmetic number, because the mean of its divisors is an integer number (1065173760).

Almost surely, 231352642104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31352642104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34085560320).

31352642104 is an abundant number, since it is smaller than the sum of its proper divisors (36818478536).

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

31352642104 is a wasteful number, since it uses less digits than its factorization.

31352642104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7580 (or 7576 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 31352642104 in words is "thirty-one billion, three hundred fifty-two million, six hundred forty-two thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 56 73 146 292 511 584 1022 1223 2044 2446 4088 4892 6271 8561 9784 12542 17122 25084 34244 43897 50168 68488 87794 89279 175588 178558 351176 357116 457783 624953 714232 915566 1249906 1831132 2499812 3204481 3662264 4999624 6408962 7669433 12817924 15338866 25635848 30677732 53686031 61355464 107372062 214744124 429488248 559868609 1119737218 2239474436 3919080263 4478948872 7838160526 15676321052 31352642104