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31105957376 = 291310146271
BaseRepresentation
bin11100111110000011…
…110011111000000000
32222021211100100200102
4130332003303320000
51002201111114001
622142340341532
72150556163244
oct347603637000
988254310612
1031105957376
111221255819a
1260413a48a8
132c19550550
141711298424
15c20c89e6b
hex73e0f3e00

31105957376 has 80 divisors (see below), whose sum is σ = 67596173568. Its totient is φ = 14214144000.

The previous prime is 31105957307. The next prime is 31105957427. The reversal of 31105957376 is 67375950113.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 31105957376.

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 7 ways as a sum of consecutive naturals, for example, 649121 + ... + 695391.

Almost surely, 231105957376 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 31105957376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33798086784).

31105957376 is an abundant number, since it is smaller than the sum of its proper divisors (36490216192).

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

31105957376 is a wasteful number, since it uses less digits than its factorization.

31105957376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46403 (or 46387 counting only the distinct ones).

The product of its (nonzero) digits is 595350, while the sum is 47.

The spelling of 31105957376 in words is "thirty-one billion, one hundred five million, nine hundred fifty-seven thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 101 104 128 202 208 256 404 416 512 808 832 1313 1616 1664 2626 3232 3328 5252 6464 6656 10504 12928 21008 25856 42016 46271 51712 84032 92542 168064 185084 336128 370168 601523 672256 740336 1203046 1480672 2406092 2961344 4673371 4812184 5922688 9346742 9624368 11845376 18693484 19248736 23690752 37386968 38497472 60753823 74773936 76994944 121507646 149547872 153989888 243015292 299095744 307979776 486030584 598191488 972061168 1196382976 1944122336 2392765952 3888244672 7776489344 15552978688 31105957376