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97031557936 = 2431536789619
BaseRepresentation
bin101101001011110001…
…0000001001100110000
3100021110021222212021001
41122113202001030300
53042210034323221
6112324203011344
710003350430315
oct1322742011460
9307407885231
1097031557936
113817286a6a5
121697b809b54
1391c4827351
1449a6b10d0c
1527cd82b391
hex1697881330

97031557936 has 160 divisors (see below), whose sum is σ = 203258419200. Its totient is φ = 44795013120.

The previous prime is 97031557933. The next prime is 97031557981. The reversal of 97031557936 is 63975513079.

It is a happy number.

97031557936 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (97031557933) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156755035 + ... + 156755653.

It is an arithmetic number, because the mean of its divisors is an integer number (1270365120).

Almost surely, 297031557936 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 97031557936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101629209600).

97031557936 is an abundant number, since it is smaller than the sum of its proper divisors (106226861264).

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

97031557936 is a wasteful number, since it uses less digits than its factorization.

97031557936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 5358150, while the sum is 55.

The spelling of 97031557936 in words is "ninety-seven billion, thirty-one million, five hundred fifty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 31 53 62 67 89 106 124 134 178 212 248 268 356 424 496 536 619 712 848 1072 1238 1424 1643 2077 2476 2759 3286 3551 4154 4717 4952 5518 5963 6572 7102 8308 9434 9904 11036 11926 13144 14204 16616 18868 19189 22072 23852 26288 28408 32807 33232 37736 38378 41473 44144 47704 55091 56816 65614 75472 76756 82946 95408 110081 110182 131228 146227 153512 165892 184853 220162 220364 262456 292454 307024 316039 331784 369706 440324 440728 524912 584908 632078 663568 739412 880648 881456 1017017 1169816 1264156 1285663 1478824 1707821 1761296 2034034 2198069 2339632 2528312 2571326 2919823 2957648 3415642 3691097 4068068 4396138 5056624 5142652 5839646 6831284 7382194 8136136 8792276 9797209 10285304 11679292 13662568 14764388 16272272 17584552 19594418 20570608 23358584 27325136 29528776 35169104 39188836 46717168 59057552 68140139 78377672 90514513 114424007 136280278 156755344 181029026 195628141 228848014 272560556 362058052 391256282 457696028 545121112 724116104 782512564 915392056 1090242224 1448232208 1565025128 1830784112 3130050256 6064472371 12128944742 24257889484 48515778968 97031557936