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120670342656 = 2931812411801
BaseRepresentation
bin111000001100010000…
…0110100111000000000
3102112110201112112202020
41300120200310320000
53434113101431111
6131234000121440
711501215663113
oct1603040647000
9375421475666
10120670342656
11471a3298516
121b478306280
13b4c1041726
145baa3a057a
153213c6a906
hex1c18834e00

120670342656 has 160 divisors (see below), whose sum is σ = 324770942496. Its totient is φ = 39813120000.

The previous prime is 120670342643. The next prime is 120670342657. The reversal of 120670342656 is 656243076021.

It is a super-2 number, since 2×1206703426562 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120670342657) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67000956 + ... + 67002756.

Almost surely, 2120670342656 is an apocalyptic number.

120670342656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120670342656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162385471248).

120670342656 is an abundant number, since it is smaller than the sum of its proper divisors (204100599840).

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

120670342656 is a wasteful number, since it uses less digits than its factorization.

120670342656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244 (or 2228 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 120670342656 in words is "one hundred twenty billion, six hundred seventy million, three hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 181 192 241 256 362 384 482 512 543 723 724 768 964 1086 1446 1448 1536 1801 1928 2172 2892 2896 3602 3856 4344 5403 5784 5792 7204 7712 8688 10806 11568 11584 14408 15424 17376 21612 23136 23168 28816 30848 34752 43224 43621 46272 46336 57632 61696 69504 86448 87242 92544 92672 115264 123392 130863 139008 172896 174484 185088 230528 261726 278016 325981 345792 348968 370176 434041 461056 523452 651962 691584 697936 868082 922112 977943 1046904 1302123 1303924 1383168 1395872 1736164 1955886 2093808 2604246 2607848 2766336 2791744 3472328 3911772 4187616 5208492 5215696 5583488 6944656 7823544 8375232 10416984 10431392 11166976 13889312 15647088 16750464 20833968 20862784 22333952 27778624 31294176 33500928 41667936 41725568 55557248 62588352 67001856 78561421 83335872 83451136 111114496 125176704 157122842 166671744 166902272 222228992 235684263 250353408 314245684 333343488 471368526 500706816 628491368 666686976 942737052 1256982736 1885474104 2513965472 3770948208 5027930944 7541896416 10055861888 15083792832 20111723776 30167585664 40223447552 60335171328 120670342656