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31946390696157 = 3737972887146819
BaseRepresentation
bin1110100001110000110010…
…10001001111000011011101
311012010001012220011210202020
413100320121101033003131
513141402202004234112
6151535545210450353
76505023225336630
oct720703121170335
9135101186153666
1031946390696157
11a1a742a786453
1236bb5117339b9
1314a96bb246a52
147c62dc017c17
153a5eeb61348c
hex1d0e1944f0dd

31946390696157 has 64 divisors (see below), whose sum is σ = 50529157754880. Its totient is φ = 17572380973056.

The previous prime is 31946390696089. The next prime is 31946390696159. The reversal of 31946390696157 is 75169609364913.

It is not a de Polignac number, because 31946390696157 - 219 = 31946390171869 is a prime.

It is a partition number, being equal to the number of ways a set of 225 identical objects can be partitioned into subset.

It is a junction number, because it is equal to n+sod(n) for n = 31946390696091 and 31946390696100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31946390696159) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 217516894 + ... + 217663712.

It is an arithmetic number, because the mean of its divisors is an integer number (789518089920).

Almost surely, 231946390696157 is an apocalyptic number.

31946390696157 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

31946390696157 is a deficient number, since it is larger than the sum of its proper divisors (18582767058723).

31946390696157 is a wasteful number, since it uses less digits than its factorization.

31946390696157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149850.

The product of its (nonzero) digits is 198404640, while the sum is 69.

The spelling of 31946390696157 in words is "thirty-one trillion, nine hundred forty-six billion, three hundred ninety million, six hundred ninety-six thousand, one hundred fifty-seven".

Divisors: 1 3 7 21 37 97 111 259 291 679 777 2037 2887 3589 8661 10767 20209 25123 60627 75369 106819 146819 280039 320457 440457 747733 840117 1027733 1960273 2243199 3083199 5432303 5880819 10361443 14241443 16296909 31084329 38026121 42724329 72530101 99690101 114078363 217590303 299070303 423866453 526933391 1271599359 1580800173 2967065171 3688533737 8901195513 11065601211 15683058761 41115045941 47049176283 109781411327 123345137823 287805321587 329344233981 863415964761 1521256699817 4563770099451 10648796898719 31946390696157