Search a number
-
+
47655505063672 = 23115939796723909
BaseRepresentation
bin10101101010111101010010…
…11100110110111011111000
320020201211012002022102110221
422311132221130312323320
522221241433244014142
6245204345314145424
713015665561316102
oct1265365134667370
9206654162272427
1047655505063672
111420364a260860
125417b58282274
132078b82c87a1c
14baa77849a572
1557996809d767
hex2b57a9736ef8

47655505063672 has 128 divisors (see below), whose sum is σ = 99485952192000. Its totient is φ = 21217955996160.

The previous prime is 47655505063643. The next prime is 47655505063681. The reversal of 47655505063672 is 27636050555674.

It is a self number, because there is not a number n which added to its sum of digits gives 47655505063672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1993191654 + ... + 1993215562.

It is an arithmetic number, because the mean of its divisors is an integer number (777234001500).

Almost surely, 247655505063672 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 47655505063672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49742976096000).

47655505063672 is an abundant number, since it is smaller than the sum of its proper divisors (51830447128328).

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

47655505063672 is a wasteful number, since it uses less digits than its factorization.

47655505063672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25349 (or 25345 counting only the distinct ones).

The product of its (nonzero) digits is 158760000, while the sum is 61.

The spelling of 47655505063672 in words is "forty-seven trillion, six hundred fifty-five billion, five hundred five million, sixty-three thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 22 44 59 88 118 236 397 472 649 794 967 1298 1588 1934 2596 3176 3868 4367 5192 7736 8734 10637 17468 21274 23423 23909 34936 42548 46846 47818 57053 85096 93692 95636 114106 187384 191272 228212 257653 262999 383899 456424 515306 525998 627583 767798 1030612 1051996 1255166 1410631 1535596 2061224 2103992 2510332 2821262 3071192 4222889 5020664 5642524 8445778 9491873 11285048 15516941 16891556 18983746 22650041 23120003 31033882 33783112 37967492 45300082 46240006 62067764 75934984 90600164 92480012 104410603 124135528 181200328 184960024 208821206 249150451 254320033 417642412 498300902 508640066 560020507 835284824 996601804 1017280132 1120041014 1364080177 1993203608 2034560264 2240082028 2728160354 4480164056 5456320708 6160225577 9178641191 10912641416 12320451154 15004881947 18357282382 24640902308 30009763894 36714564764 49281804616 60019527788 73429129528 100965053101 120039055576 201930106202 403860212404 541539830269 807720424808 1083079660538 2166159321076 4332318642152 5956938132959 11913876265918 23827752531836 47655505063672