Search a number
-
+
120975947520 = 2835311016263
BaseRepresentation
bin111000010101010111…
…0100111011100000000
3102120021000120212210220
41300222232213130000
53440224320310040
6131324154223040
711511616405311
oct1605256473400
9376230525726
10120975947520
114733a84aa1a
121b542724a80
13b53c4526cc
145bd8bd2608
1532309d52d0
hex1c2aba7700

120975947520 has 144 divisors (see below), whose sum is σ = 398830774272. Its totient is φ = 31219568640.

The previous prime is 120975947503. The next prime is 120975947567. The reversal of 120975947520 is 25749579021.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 389092 + ... + 627171.

Almost surely, 2120975947520 is an apocalyptic number.

120975947520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120975947520 is an abundant number, since it is smaller than the sum of its proper divisors (277854826752).

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

120975947520 is a wasteful number, since it uses less digits than its factorization.

120975947520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016318 (or 1016304 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 51.

The spelling of 120975947520 in words is "one hundred twenty billion, nine hundred seventy-five million, nine hundred forty-seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 256 310 320 372 384 465 480 496 620 640 744 768 930 960 992 1240 1280 1488 1860 1920 1984 2480 2976 3720 3840 3968 4960 5952 7440 7936 9920 11904 14880 19840 23808 29760 39680 59520 119040 1016263 2032526 3048789 4065052 5081315 6097578 8130104 10162630 12195156 15243945 16260208 20325260 24390312 30487890 31504153 32520416 40650520 48780624 60975780 63008306 65040832 81301040 94512459 97561248 121951560 126016612 130081664 157520765 162602080 189024918 195122496 243903120 252033224 260163328 315041530 325204160 378049836 390244992 472562295 487806240 504066448 630083060 650408320 756099672 780489984 945124590 975612480 1008132896 1260166120 1300816640 1512199344 1890249180 1951224960 2016265792 2520332240 3024398688 3780498360 3902449920 4032531584 5040664480 6048797376 7560996720 8065063168 10081328960 12097594752 15121993440 20162657920 24195189504 30243986880 40325315840 60487973760 120975947520