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120052895968 = 2519379195807
BaseRepresentation
bin110111111001110110…
…1011101000011100000
3102110212200201000010101
41233303231131003200
53431332020132333
6131052422112144
711450010531025
oct1576355350340
9373780630111
10120052895968
1146a068036a5
121b32557b654
13b423147965
145b4c39554c
1531c995367d
hex1bf3b5d0e0

120052895968 has 96 divisors (see below), whose sum is σ = 255840076800. Its totient is φ = 55260486144.

The previous prime is 120052895951. The next prime is 120052895983. The reversal of 120052895968 is 869598250021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20670921 + ... + 20676727.

It is an arithmetic number, because the mean of its divisors is an integer number (2665000800).

Almost surely, 2120052895968 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 120052895968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127920038400).

120052895968 is an abundant number, since it is smaller than the sum of its proper divisors (135787180832).

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

120052895968 is a wasteful number, since it uses less digits than its factorization.

120052895968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6792 (or 6784 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 55.

The spelling of 120052895968 in words is "one hundred twenty billion, fifty-two million, eight hundred ninety-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 19 32 37 38 74 76 148 152 296 304 592 608 703 919 1184 1406 1838 2812 3676 5624 5807 7352 11248 11614 14704 17461 22496 23228 29408 34003 34922 46456 68006 69844 92912 110333 136012 139688 185824 214859 220666 272024 279376 429718 441332 544048 558752 646057 859436 882664 1088096 1292114 1718872 1765328 2584228 3437744 3530656 4082321 5168456 5336633 6875488 8164642 10336912 10673266 16329284 20673824 21346532 32658568 42693064 65317136 85386128 101396027 130634272 170772256 197455421 202792054 394910842 405584108 789821684 811168216 1579643368 1622336432 3159286736 3244672864 3751652999 6318573472 7503305998 15006611996 30013223992 60026447984 120052895968