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152341516404 = 2232711465711801
BaseRepresentation
bin1000110111100001000…
…0110001000001110100
3112120012221102212112100
42031320100301001310
54443443412011104
6153552411222100
714002110344460
oct2157020610164
9476187385470
10152341516404
11596758a6080
1225636a47930
131149a6cc41c
1475327494a0
153e69452139
hex2378431074

152341516404 has 144 divisors (see below), whose sum is σ = 480250382976. Its totient is φ = 39557376000.

The previous prime is 152341516399. The next prime is 152341516423. The reversal of 152341516404 is 404615143251.

152341516404 is a `hidden beast` number, since 1 + 5 + 2 + 3 + 4 + 1 + 5 + 1 + 640 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12903304 + ... + 12915104.

It is an arithmetic number, because the mean of its divisors is an integer number (3335072104).

Almost surely, 2152341516404 is an apocalyptic number.

152341516404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152341516404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240125191488).

152341516404 is an abundant number, since it is smaller than the sum of its proper divisors (327908866572).

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

152341516404 is a wasteful number, since it uses less digits than its factorization.

152341516404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16486 (or 16481 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 152341516404 its reverse (404615143251), we get a palindrome (556956659655).

The spelling of 152341516404 in words is "one hundred fifty-two billion, three hundred forty-one million, five hundred sixteen thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 4657 9314 11801 13971 18628 23602 27942 32599 35403 41913 47204 51227 55884 65198 70806 82607 83826 97797 102454 106209 129811 130396 141612 153681 165214 167652 195594 204908 212418 247821 259622 293391 307362 330428 358589 389433 391188 424836 461043 495642 519244 586782 614724 717178 743463 778866 908677 922086 991284 1075767 1168299 1173564 1434356 1486926 1557732 1817354 1844172 2151534 2336598 2726031 2973852 3227301 3634708 4303068 4673196 5452062 6454602 8178093 10904124 12909204 16356186 32712372 54957257 109914514 164871771 219829028 329743542 384700799 494615313 604529827 659487084 769401598 989230626 1154102397 1209059654 1538803196 1813589481 1978461252 2308204794 2418119308 3462307191 3627178962 4231708789 4616409588 5440768443 6924614382 7254357924 8463417578 10881536886 12695126367 13849228764 16926835156 21763073772 25390252734 38085379101 50780505468 76170758202 152341516404