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10604999064 = 23311317118251
BaseRepresentation
bin10011110000001101…
…10111000110011000
31000101002011202211010
421320012313012120
5133204334432224
64512153533520
7523542001422
oct117006670630
930332152733
1010604999064
114552277840
12207b7142a0
13100014659a
1472864b812
15421066e29
hex2781b7198

10604999064 has 128 divisors (see below), whose sum is σ = 30277877760. Its totient is φ = 3066000000.

The previous prime is 10604999057. The next prime is 10604999071. The reversal of 10604999064 is 46099940601.

It is an interprime number because it is at equal distance from previous prime (10604999057) and next prime (10604999071).

It is a super-2 number, since 2×106049990642 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 571939 + ... + 590189.

It is an arithmetic number, because the mean of its divisors is an integer number (236545920).

Almost surely, 210604999064 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 10604999064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15138938880).

10604999064 is an abundant number, since it is smaller than the sum of its proper divisors (19672878696).

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

10604999064 is a wasteful number, since it uses less digits than its factorization.

10604999064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18373 (or 18369 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The spelling of 10604999064 in words is "ten billion, six hundred four million, nine hundred ninety-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 71 88 93 124 132 142 186 213 248 264 284 341 372 426 568 682 744 781 852 1023 1364 1562 1704 2046 2201 2343 2728 3124 4092 4402 4686 6248 6603 8184 8804 9372 13206 17608 18251 18744 24211 26412 36502 48422 52824 54753 72633 73004 96844 109506 145266 146008 193688 200761 219012 290532 401522 438024 565781 581064 602283 803044 1131562 1204566 1295821 1606088 1697343 2263124 2409132 2591642 3394686 3887463 4526248 4818264 5183284 6223591 6789372 7774926 10366568 12447182 13578744 14254031 15549852 18670773 24894364 28508062 31099704 37341546 40170451 42762093 49788728 57016124 74683092 80340902 85524186 114032248 120511353 149366184 160681804 171048372 241022706 321363608 342096744 441874961 482045412 883749922 964090824 1325624883 1767499844 2651249766 3534999688 5302499532 10604999064