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23318352472464 = 243272574872
BaseRepresentation
bin1010100110101001110100…
…00111011010100110010000
310001120012202002002000012100
411103110322013122212100
511024021441213104324
6121332145300000400
74624460340446100
oct523247207324620
9101505662060170
1023318352472464
117480292076225
122747305090100
131001bacbb34aa
145a8885835200
152a686d0684c9
hex15353a1da990

23318352472464 has 135 divisors (see below), whose sum is σ = 75914851543947. Its totient is φ = 6662270526912.

The previous prime is 23318352472447. The next prime is 23318352472531. The reversal of 23318352472464 is 46427425381332.

It is a happy number.

The square root of 23318352472464 is 4828908.

It is a perfect power (a square), and thus also a powerful number.

23318352472464 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 8 + 3 + 524 + 72 + 46 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 23318352472464.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 405599529 + ... + 405657015.

Almost surely, 223318352472464 is an apocalyptic number.

23318352472464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

23318352472464 is the 4828908-th square number.

It is an amenable number.

23318352472464 is an abundant number, since it is smaller than the sum of its proper divisors (52596499071483).

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

23318352472464 is an frugal number, since it uses more digits than its factorization.

23318352472464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115002 (or 57499 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 54.

The spelling of 23318352472464 in words is "twenty-three trillion, three hundred eighteen billion, three hundred fifty-two million, four hundred seventy-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 57487 114974 172461 229948 344922 402409 459896 517383 689844 804818 919792 1034766 1207227 1379688 1609636 2069532 2414454 2759376 2816863 3219272 3621681 4139064 4828908 5633726 6438544 7243362 8278128 8450589 9657816 11267452 14486724 16901178 19315632 22534904 25351767 28973448 33802356 45069808 50703534 57946896 67604712 101407068 135209424 202814136 405628272 3304755169 6609510338 9914265507 13219020676 19828531014 23133286183 26438041352 29742796521 39657062028 46266572366 52876082704 59485593042 69399858549 79314124056 92533144732 118971186084 138799717098 158628248112 161933003281 185066289464 208199575647 237942372168 277599434196 323866006562 370132578928 416399151294 475884744336 485799009843 555198868392 647732013124 832798302588 971598019686 1110397736784 1295464026248 1457397029529 1665596605176 1943196039372 2590928052496 2914794059058 3331193210352 3886392078744 5829588118116 7772784157488 11659176236232 23318352472464