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96974486442 = 23437151307349
BaseRepresentation
bin101101001010000100…
…0010011101110101010
3100021022022121022220000
41122110020103232222
53042100432031232
6112314403443430
710002055351161
oct1322410235652
9307268538800
1096974486442
1138143629a79
1216964686576
1391b5a64332
14499d2d63d8
1527c880627c
hex1694213baa

96974486442 has 160 divisors (see below), whose sum is σ = 226022966400. Its totient is φ = 31051900800.

The previous prime is 96974486407. The next prime is 96974486443. The reversal of 96974486442 is 24468447969.

96974486442 is a `hidden beast` number, since 9 + 6 + 97 + 448 + 64 + 42 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 96974486442.

It is not an unprimeable number, because it can be changed into a prime (96974486443) 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 79 ways as a sum of consecutive naturals, for example, 277863684 + ... + 277864032.

It is an arithmetic number, because the mean of its divisors is an integer number (1412643540).

Almost surely, 296974486442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96974486442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113011483200).

96974486442 is an abundant number, since it is smaller than the sum of its proper divisors (129048479958).

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

96974486442 is a wasteful number, since it uses less digits than its factorization.

96974486442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 849 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 63.

The spelling of 96974486442 in words is "ninety-six billion, nine hundred seventy-four million, four hundred eighty-six thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 151 162 222 302 307 333 349 453 614 666 698 906 921 999 1047 1359 1842 1998 2094 2718 2763 2997 3141 4077 5526 5587 5994 6282 8154 8289 9423 11174 11359 12231 12913 16578 16761 18846 22718 24462 24867 25826 28269 33522 34077 38739 46357 49734 50283 52699 56538 68154 77478 92714 100566 102231 105398 107143 116217 139071 150849 158097 204462 214286 232434 278142 301698 306693 316194 321429 348651 417213 452547 474291 613386 642858 697302 834426 905094 920079 948582 964287 1045953 1251639 1422873 1715209 1840158 1928574 1949863 2091906 2503278 2845746 2892861 3430418 3754917 3899726 3964291 4268619 5145627 5785722 5849589 7509834 7928582 8537238 8678583 10291254 11699178 11892873 15436881 16178593 17357166 17548767 23785746 30873762 32357186 35097534 35678619 46310643 48535779 52646301 71357238 92621286 97071558 105292602 107035857 138931929 145607337 157938903 214071714 277863858 291214674 315877806 321107571 436822011 598607941 642215142 873644022 1197215882 1310466033 1795823823 2620932066 3591647646 5387471469 10774942938 16162414407 32324828814 48487243221 96974486442