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196341154816 = 2106122272
BaseRepresentation
bin1011011011011011011…
…0000100010000000000
3200202210100112002110211
42312312312010100000
511204101313423231
6230110424203504
720120342164612
oct2666666042000
9622710462424
10196341154816
11762a4510704
1232076309594
13156902a7921
1497081b4db2
15519213beb1
hex2db6d84400

196341154816 has 99 divisors (see below), whose sum is σ = 400795908357. Its totient is φ = 96135843840.

The previous prime is 196341154811. The next prime is 196341154859. The reversal of 196341154816 is 618451143691.

The square root of 196341154816 is 443104.

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., 6384649216 + 189956505600 = 79904^2 + 435840^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 196341154816.

It is not an unprimeable number, because it can be changed into a prime (196341154811) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 864938895 + ... + 864939121.

Almost surely, 2196341154816 is an apocalyptic number.

196341154816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

196341154816 is the 443104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196341154816

196341154816 is an abundant number, since it is smaller than the sum of its proper divisors (204454753541).

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

196341154816 is an frugal number, since it uses more digits than its factorization.

196341154816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 290 counting only the distinct ones).

The product of its digits is 622080, while the sum is 49.

Multiplying 196341154816 by its sum of digits (49), we get a square (9620716585984 = 31017282).

The spelling of 196341154816 in words is "one hundred ninety-six billion, three hundred forty-one million, one hundred fifty-four thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 61 64 122 128 227 244 256 454 488 512 908 976 1024 1816 1952 3632 3721 3904 7264 7442 7808 13847 14528 14884 15616 27694 29056 29768 31232 51529 55388 58112 59536 62464 103058 110776 116224 119072 206116 221552 232448 238144 412232 443104 476288 824464 844667 886208 952576 1648928 1689334 1772416 1905152 3143269 3297856 3378668 3544832 3810304 6286538 6595712 6757336 7089664 12573076 13191424 13514672 14179328 25146152 26382848 27029344 50292304 52765696 54058688 100584608 108117376 191739409 201169216 216234752 383478818 402338432 432469504 766957636 804676864 864939008 1533915272 1609353728 3067830544 3218707456 6135661088 12271322176 24542644352 49085288704 98170577408 196341154816