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54406252620 = 223251937429953
BaseRepresentation
bin110010101010110111…
…011000100001001100
312012102122221222220100
4302222313120201030
51342411000040440
640554402451100
73634144342206
oct625267304114
9165378858810
1054406252620
1121089a02945
12a664663a90
1351908b19b5
1428c19d5776
151636616230
hexcaadd884c

54406252620 has 144 divisors (see below), whose sum is σ = 178413711840. Its totient is φ = 13373227008.

The previous prime is 54406252619. The next prime is 54406252631. The reversal of 54406252620 is 2625260445.

54406252620 is a `hidden beast` number, since 5 + 4 + 4 + 0 + 6 + 25 + 2 + 620 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 88437 + ... + 341516.

It is an arithmetic number, because the mean of its divisors is an integer number (1238984110).

Almost surely, 254406252620 is an apocalyptic number.

It is an amenable number.

54406252620 is an abundant number, since it is smaller than the sum of its proper divisors (124007459220).

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

54406252620 is a wasteful number, since it uses less digits than its factorization.

54406252620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430024 (or 430019 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 54406252620 in words is "fifty-four billion, four hundred six million, two hundred fifty-two thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 37 38 45 57 60 74 76 90 95 111 114 148 171 180 185 190 222 228 285 333 342 370 380 444 555 570 666 684 703 740 855 1110 1140 1332 1406 1665 1710 2109 2220 2812 3330 3420 3515 4218 6327 6660 7030 8436 10545 12654 14060 21090 25308 31635 42180 63270 126540 429953 859906 1289859 1719812 2149765 2579718 3869577 4299530 5159436 6449295 7739154 8169107 8599060 12898590 15478308 15908261 16338214 19347885 24507321 25797180 31816522 32676428 38695770 40845535 47724783 49014642 63633044 73521963 77391540 79541305 81691070 95449566 98029284 122536605 143174349 147043926 159082610 163382140 190899132 238623915 245073210 286348698 294087852 302256959 318165220 367609815 477247830 490146420 572697396 604513918 715871745 735219630 906770877 954495660 1209027836 1431743490 1470439260 1511284795 1813541754 2720312631 2863486980 3022569590 3627083508 4533854385 5440625262 6045139180 9067708770 10881250524 13601563155 18135417540 27203126310 54406252620