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196101951556 = 22724726732
BaseRepresentation
bin1011011010100010010…
…1100101000001000100
3200202011200102022021211
42312220211211001010
511203104044422211
6230031001221204
720111406041200
oct2665045450104
9622150368254
10196101951556
1176191491765
123200a191804
1315652875634
1496c4509b00
15517b13be21
hex2da8965044

196101951556 has 81 divisors (see below), whose sum is σ = 408489006429. Its totient is φ = 82133307648.

The previous prime is 196101951499. The next prime is 196101951587. The reversal of 196101951556 is 655159101691.

It is a happy number.

The square root of 196101951556 is 442834.

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

It can be written as a sum of positive squares in only one way, i.e., 64176088900 + 131925862656 = 253330^2 + 363216^2 .

It is a super-2 number, since 2×1961019515562 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

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, 291384436 + ... + 291385108.

Almost surely, 2196101951556 is an apocalyptic number.

196101951556 is the 442834-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196101951556

196101951556 is an abundant number, since it is smaller than the sum of its proper divisors (212387054873).

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

196101951556 is an frugal number, since it uses more digits than its factorization.

196101951556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 364500, while the sum is 49.

Multiplying 196101951556 by its sum of digits (49), we get a square (9608995626244 = 30998382).

196101951556 divided by its sum of digits (49) gives a square (4002080644 = 632622).

The spelling of 196101951556 in words is "one hundred ninety-six billion, one hundred one million, nine hundred fifty-one thousand, five hundred fifty-six".

Divisors: 1 2 4 7 14 28 47 49 94 98 188 196 329 658 673 1316 1346 2209 2303 2692 4418 4606 4711 8836 9212 9422 15463 18844 30926 31631 32977 61852 63262 65954 108241 126524 131908 216482 221417 432964 442834 452929 885668 905858 1486657 1549919 1811716 2973314 3099838 3170503 5946628 6199676 6341006 10406599 12682012 20813198 21287663 22193521 41626396 42575326 44387042 72846193 85150652 88774084 145692386 149013641 291384772 298027282 596054564 1000520161 1043095487 2001040322 2086190974 4002080644 4172381948 7003641127 14007282254 28014564508 49025487889 98050975778 196101951556