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10163117004 = 22317312471103
BaseRepresentation
bin10010111011100010…
…01101101111001100
3222020021200211120220
421131301031233030
5131303224221004
64400250511340
7506565032505
oct113561155714
928207624526
1010163117004
1143458a6257
121b77735550
13c5c72c901
146c5aa3bac
153e737ddd9
hex25dc4dbcc

10163117004 has 144 divisors (see below), whose sum is σ = 26521012224. Its totient is φ = 3017187840.

The previous prime is 10163116963. The next prime is 10163117009. The reversal of 10163117004 is 40071136101.

It is not an unprimeable number, because it can be changed into a prime (10163117009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9213517 + ... + 9214619.

It is an arithmetic number, because the mean of its divisors is an integer number (184173696).

Almost surely, 210163117004 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 10163117004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13260506112).

10163117004 is an abundant number, since it is smaller than the sum of its proper divisors (16357895220).

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

10163117004 is a wasteful number, since it uses less digits than its factorization.

10163117004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The spelling of 10163117004 in words is "ten billion, one hundred sixty-three million, one hundred seventeen thousand, four".

Divisors: 1 2 3 4 6 12 17 31 34 47 51 62 68 93 94 102 124 141 186 188 204 282 372 527 564 799 961 1054 1103 1457 1581 1598 1922 2108 2206 2397 2883 2914 3162 3196 3309 3844 4371 4412 4794 5766 5828 6324 6618 8742 9588 11532 13236 16337 17484 18751 24769 32674 34193 37502 45167 49011 49538 51841 56253 65348 68386 74307 75004 90334 98022 99076 102579 103682 112506 135501 136772 148614 155523 180668 196044 205158 207364 225012 271002 297228 311046 410316 542004 581281 622092 767839 881297 1059983 1162562 1535678 1607071 1743843 1762594 2119966 2303517 2325124 2643891 3071356 3179949 3214142 3487686 3525188 4239932 4607034 4821213 5287782 6359898 6428284 6975372 9214068 9642426 10575564 12719796 18019711 19284852 27320207 36039422 49819201 54059133 54640414 72078844 81960621 99638402 108118266 109280828 149457603 163921242 199276804 216236532 298915206 327842484 597830412 846926417 1693852834 2540779251 3387705668 5081558502 10163117004