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13315955004 = 22321178742727
BaseRepresentation
bin11000110011011000…
…10101100100111100
31021101000022121020200
430121230111210330
5204232341030004
610041155043500
7650660515152
oct143154254474
937330277220
1013315955004
1157135670a0
1226b75a0590
131342997a21
149046d33d2
1552e063239
hex319b1593c

13315955004 has 72 divisors (see below), whose sum is σ = 36767273088. Its totient is φ = 4029916320.

The previous prime is 13315954997. The next prime is 13315955011. The reversal of 13315955004 is 40055951331.

It is a happy number.

13315955004 is a `hidden beast` number, since 13 + 3 + 1 + 595 + 50 + 0 + 4 = 666.

13315955004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13315954997) and next prime (13315955011).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13315955004.

It is a congruent number.

It is an unprimeable number.

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, 290289 + ... + 333015.

Almost surely, 213315955004 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 13315955004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18383636544).

13315955004 is an abundant number, since it is smaller than the sum of its proper divisors (23451318084).

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

13315955004 is a wasteful number, since it uses less digits than its factorization.

13315955004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43535 (or 43530 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The spelling of 13315955004 in words is "thirteen billion, three hundred fifteen million, nine hundred fifty-five thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 787 1574 2361 3148 4722 7083 8657 9444 14166 17314 25971 28332 34628 42727 51942 77913 85454 103884 128181 155826 170908 256362 311652 384543 469997 512724 769086 939994 1409991 1538172 1879988 2819982 4229973 5639964 8459946 16919892 33626149 67252298 100878447 134504596 201756894 302635341 369887639 403513788 605270682 739775278 1109662917 1210541364 1479550556 2219325834 3328988751 4438651668 6657977502 13315955004