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10197604944 = 243323244623
BaseRepresentation
bin10010111111101001…
…10001101001010000
3222022200121000011000
421133310301221100
5131341041324234
64403522022000
7510464132442
oct113764615120
928280530130
1010197604944
11436331158a
121b871a7900
13c66916587
146ca4c0492
153ea3e2899
hex25fd31a50

10197604944 has 120 divisors (see below), whose sum is σ = 30599569280. Its totient is φ = 3251337408.

The previous prime is 10197604943. The next prime is 10197605107. The reversal of 10197604944 is 44940679101.

10197604944 is a `hidden beast` number, since 10 + 1 + 97 + 60 + 494 + 4 = 666.

10197604944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101976049442 (a number of 21 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 10197604944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10197604943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206217 + ... + 250839.

Almost surely, 210197604944 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 10197604944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15299784640).

10197604944 is an abundant number, since it is smaller than the sum of its proper divisors (20401964336).

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

10197604944 is a wasteful number, since it uses less digits than its factorization.

10197604944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44686 (or 44651 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10197604944 in words is "ten billion, one hundred ninety-seven million, six hundred four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 529 552 621 828 1058 1104 1242 1587 1656 2116 2484 3174 3312 4232 4761 4968 6348 8464 9522 9936 12696 14283 19044 25392 28566 38088 44623 57132 76176 89246 114264 133869 178492 228528 267738 356984 401607 535476 713968 803214 1026329 1070952 1204821 1606428 2052658 2141904 2409642 3078987 3212856 4105316 4819284 6157974 6425712 8210632 9236961 9638568 12315948 16421264 18473922 19277136 23605567 24631896 27710883 36947844 47211134 49263792 55421766 70816701 73895688 94422268 110843532 141633402 147791376 188844536 212450103 221687064 283266804 377689072 424900206 443374128 566533608 637350309 849800412 1133067216 1274700618 1699600824 2549401236 3399201648 5098802472 10197604944