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450152131320 = 23345532621431
BaseRepresentation
bin1101000110011110010…
…10000110101011111000
31121000220212122121120000
412203033022012223320
524333402421200240
6542444054233000
744344121661213
oct6431712065370
91530825577500
10450152131320
111639aa162a11
12732ab055760
13335aba750a8
1417b04bb477a
15ba997de430
hex68cf286af8

450152131320 has 160 divisors (see below), whose sum is σ = 1541559301920. Its totient is φ = 117775607040.

The previous prime is 450152131279. The next prime is 450152131339. The reversal of 450152131320 is 23131251054.

450152131320 is a `hidden beast` number, since 4 + 5 + 0 + 1 + 521 + 3 + 132 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1138996 + ... + 1482435.

It is an arithmetic number, because the mean of its divisors is an integer number (9634745637).

Almost surely, 2450152131320 is an apocalyptic number.

450152131320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450152131320 is an abundant number, since it is smaller than the sum of its proper divisors (1091407170600).

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

450152131320 is a wasteful number, since it uses less digits than its factorization.

450152131320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2621507 (or 2621494 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 450152131320 its reverse (23131251054), we get a palindrome (473283382374).

The spelling of 450152131320 in words is "four hundred fifty billion, one hundred fifty-two million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 53 54 60 72 81 90 106 108 120 135 159 162 180 212 216 265 270 318 324 360 405 424 477 530 540 636 648 795 810 954 1060 1080 1272 1431 1590 1620 1908 2120 2385 2862 3180 3240 3816 4293 4770 5724 6360 7155 8586 9540 11448 14310 17172 19080 21465 28620 34344 42930 57240 85860 171720 2621431 5242862 7864293 10485724 13107155 15728586 20971448 23592879 26214310 31457172 39321465 47185758 52428620 62914344 70778637 78642930 94371516 104857240 117964395 138935843 141557274 157285860 188743032 212335911 235928790 277871686 283114548 314571720 353893185 416807529 424671822 471857580 555743372 566229096 694679215 707786370 833615058 849343644 943715160 1061679555 1111486744 1250422587 1389358430 1415572740 1667230116 1698687288 2084037645 2123359110 2500845174 2778716860 2831145480 3334460232 3751267761 4168075290 4246718220 5001690348 5557433720 6252112935 7502535522 8336150580 8493436440 10003380696 11253803283 12504225870 15005071044 16672301160 18756338805 22507606566 25008451740 30010142088 37512677610 45015213132 50016903480 56269016415 75025355220 90030426264 112538032830 150050710440 225076065660 450152131320