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197487804816 = 243229212772
BaseRepresentation
bin1011011111101100110…
…0001100000110010000
3200212202021010221120100
42313323030030012100
511213423334223231
6230420305012400
720160634433541
oct2677314140620
9625667127510
10197487804816
1176832798835
1232336324100
1315813a0cc53
1497b65b84c8
15520cb3a1e6
hex2dfb30c190

197487804816 has 135 divisors (see below), whose sum is σ = 572855673091. Its totient is φ = 63509521152.

The previous prime is 197487804803. The next prime is 197487804823. The reversal of 197487804816 is 618408784791.

The square root of 197487804816 is 444396.

It is a perfect power (a square), and thus also a powerful number.

197487804816 is a `hidden beast` number, since 1 + 9 + 74 + 8 + 7 + 80 + 481 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6609690000 + 190878114816 = 81300^2 + 436896^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 154649170 + ... + 154650446.

Almost surely, 2197487804816 is an apocalyptic number.

197487804816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

197487804816 is the 444396-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197487804816

197487804816 is an abundant number, since it is smaller than the sum of its proper divisors (375367868275).

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

197487804816 is an equidigital number, since it uses as much as digits as its factorization.

197487804816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2626 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 197487804816 in words is "one hundred ninety-seven billion, four hundred eighty-seven million, eight hundred four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 841 1044 1277 1392 1682 2088 2523 2554 3364 3831 4176 5046 5108 6728 7569 7662 10092 10216 11493 13456 15138 15324 20184 20432 22986 30276 30648 37033 40368 45972 60552 61296 74066 91944 111099 121104 148132 183888 222198 296264 333297 444396 592528 666594 888792 1073957 1333188 1630729 1777584 2147914 2666376 3221871 3261458 4295828 4892187 5332752 6443742 6522916 8591656 9665613 9784374 12887484 13045832 14676561 17183312 19331226 19568748 25774968 26091664 29353122 38662452 39137496 47291141 51549936 58706244 77324904 78274992 94582282 117412488 141873423 154649808 189164564 234824976 283746846 378329128 425620269 567493692 756658256 851240538 1134987384 1371443089 1702481076 2269974768 2742886178 3404962152 4114329267 5485772356 6809924304 8228658534 10971544712 12342987801 16457317068 21943089424 24685975602 32914634136 49371951204 65829268272 98743902408 197487804816