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97417083024 = 24331958720219
BaseRepresentation
bin101101010111010000…
…0101011100010010000
3100022110011102120021000
41122232200223202100
53044002233124044
6112430334102000
710016041354212
oct1325640534220
9308404376230
1097417083024
1138350449378
1216a6894a900
13925666b2c1
144a01dc85b2
1528025d0d69
hex16ae82b890

97417083024 has 160 divisors (see below), whose sum is σ = 294856128000. Its totient is φ = 30709362816.

The previous prime is 97417082947. The next prime is 97417083047. The reversal of 97417083024 is 42038071479.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4807987 + ... + 4828205.

It is an arithmetic number, because the mean of its divisors is an integer number (1842850800).

Almost surely, 297417083024 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 97417083024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147428064000).

97417083024 is an abundant number, since it is smaller than the sum of its proper divisors (197439044976).

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

97417083024 is a wasteful number, since it uses less digits than its factorization.

97417083024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20842 (or 20830 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 97417083024 in words is "ninety-seven billion, four hundred seventeen million, eighty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 587 684 912 1026 1174 1368 1761 2052 2348 2736 3522 4104 4696 5283 7044 8208 9392 10566 11153 14088 15849 20219 21132 22306 28176 31698 33459 40438 42264 44612 60657 63396 66918 80876 84528 89224 100377 121314 126792 133836 161752 178448 181971 200754 242628 253584 267672 301131 323504 363942 384161 401508 485256 535344 545913 602262 727884 768322 803016 970512 1091826 1152483 1204524 1455768 1536644 1606032 2183652 2304966 2409048 2911536 3073288 3457449 4367304 4609932 4818096 6146576 6914898 8734608 9219864 10372347 11868553 13829796 18439728 20744694 23737106 27659592 35605659 41489388 47474212 55319184 71211318 82978776 94948424 106816977 142422636 165957552 189896848 213633954 225502507 284845272 320450931 427267908 451005014 569690544 640901862 676507521 854535816 902010028 1281803724 1353015042 1709071632 1804020056 2029522563 2563607448 2706030084 3608040112 4059045126 5127214896 5412060168 6088567689 8118090252 10824120336 12177135378 16236180504 24354270756 32472361008 48708541512 97417083024