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10190004552 = 2333713518417
BaseRepresentation
bin10010111110101111…
…10010000101001000
3222022011021212101000
421133113302011020
5131332120121202
64403051055000
7510342416040
oct113727620510
928264255330
1010190004552
114359aa0272
121b84741460
13c65184cc0
146c94a2720
153e98e091c
hex25f5f2148

10190004552 has 128 divisors (see below), whose sum is σ = 34837689600. Its totient is φ = 2687468544.

The previous prime is 10190004541. The next prime is 10190004557. The reversal of 10190004552 is 25540009101.

10190004552 is a `hidden beast` number, since 101 + 9 + 0 + 0 + 0 + 4 + 552 = 666.

10190004552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10190004557) 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 31 ways as a sum of consecutive naturals, for example, 239553 + ... + 278864.

It is an arithmetic number, because the mean of its divisors is an integer number (272169450).

Almost surely, 210190004552 is an apocalyptic number.

10190004552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10190004552 is an abundant number, since it is smaller than the sum of its proper divisors (24647685048).

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

10190004552 is a wasteful number, since it uses less digits than its factorization.

10190004552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518452 (or 518442 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 10190004552 in words is "ten billion, one hundred ninety million, four thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1512 1638 2184 2457 2808 3276 4914 6552 9828 19656 518417 1036834 1555251 2073668 3110502 3628919 4147336 4665753 6221004 6739421 7257838 9331506 10886757 12442008 13478842 13997259 14515676 18663012 20218263 21773514 26957684 27994518 29031352 32660271 37326024 40436526 43547028 47175947 53915368 55989036 60654789 65320542 80873052 87094056 94351894 97980813 111978072 121309578 130641084 141527841 161746104 181964367 188703788 195961626 242619156 261282168 283055682 363928734 377407576 391923252 424583523 485238312 566111364 727857468 783846504 849167046 1132222728 1273750569 1455714936 1698334092 2547501138 3396668184 5095002276 10190004552