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54607534440 = 233519139172307
BaseRepresentation
bin110010110110110111…
…001101100101101000
312012221200201011122120
4302312313031211220
51343314012100230
641030352551240
73642140245524
oct626667154550
9165850634576
1054607534440
1121182590958
12a6bbb52520
1351c34c7574
14290062cd84
151649125310
hexcb6dcd968

54607534440 has 128 divisors (see below), whose sum is σ = 173686464000. Its totient is φ = 13696259328.

The previous prime is 54607534391. The next prime is 54607534447. The reversal of 54607534440 is 4443570645.

It is a happy number.

It is a super-2 number, since 2×546075344402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54607534392 and 54607534401.

It is not an unprimeable number, because it can be changed into a prime (54607534447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230767 + ... + 403073.

It is an arithmetic number, because the mean of its divisors is an integer number (1356925500).

Almost surely, 254607534440 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 54607534440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86843232000).

54607534440 is an abundant number, since it is smaller than the sum of its proper divisors (119078929560).

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

54607534440 is a wasteful number, since it uses less digits than its factorization.

54607534440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172479 (or 172475 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 42.

The spelling of 54607534440 in words is "fifty-four billion, six hundred seven million, five hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 139 152 190 228 278 285 380 417 456 556 570 695 760 834 1112 1140 1390 1668 2085 2280 2641 2780 3336 4170 5282 5560 7923 8340 10564 13205 15846 16680 21128 26410 31692 39615 52820 63384 79230 105640 158460 172307 316920 344614 516921 689228 861535 1033842 1378456 1723070 2067684 2584605 3273833 3446140 4135368 5169210 6547666 6892280 9821499 10338420 13095332 16369165 19642998 20676840 23950673 26190664 32738330 39285996 47901346 49107495 65476660 71852019 78571992 95802692 98214990 119753365 130953320 143704038 191605384 196429980 239506730 287408076 359260095 392859960 455062787 479013460 574816152 718520190 910125574 958026920 1365188361 1437040380 1820251148 2275313935 2730376722 2874080760 3640502296 4550627870 5460753444 6825941805 9101255740 10921506888 13651883610 18202511480 27303767220 54607534440