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194965249664 = 2737127732237
BaseRepresentation
bin1011010110010011010…
…1011001111010000000
3200122020110111212102202
42311210311121322000
511143242100442124
6225322113532332
720041264164413
oct2654465317200
9618213455382
10194965249664
1175758889809
12319515740a8
1315501214373
149617575b7a
1551114565ae
hex2d64d59e80

194965249664 has 64 divisors (see below), whose sum is σ = 399229589160. Its totient is φ = 94770745344.

The previous prime is 194965249657. The next prime is 194965249667. The reversal of 194965249664 is 466942569491.

It can be written as a sum of positive squares in 4 ways, for example, as 184893120064 + 10072129600 = 429992^2 + 100360^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1949652496642 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 194965249664.

It is not an unprimeable number, because it can be changed into a prime (194965249667) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6031754 + ... + 6063990.

Almost surely, 2194965249664 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 194965249664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199614794580).

194965249664 is an abundant number, since it is smaller than the sum of its proper divisors (204264339496).

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

194965249664 is a wasteful number, since it uses less digits than its factorization.

194965249664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33565 (or 33553 counting only the distinct ones).

The product of its digits is 100776960, while the sum is 65.

The spelling of 194965249664 in words is "one hundred ninety-four billion, nine hundred sixty-five million, two hundred forty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 1184 1277 2368 2554 4736 5108 10216 20432 32237 40864 47249 64474 81728 94498 128948 163456 188996 257896 377992 515792 755984 1031584 1192769 1511968 2063168 2385538 3023936 4126336 4771076 6047872 9542152 19084304 38168608 41166649 76337216 82333298 152674432 164666596 329333192 658666384 1317332768 1523166013 2634665536 3046332026 5269331072 6092664052 12185328104 24370656208 48741312416 97482624832 194965249664