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2972105856 = 273219135787
BaseRepresentation
bin1011000100100110…
…1011110010000000
321200010112121202200
42301021223302000
522041324341411
61210530313200
7133436324436
oct26111536200
97603477680
102972105856
111295749135
126ab428800
13384998c25
14202a24d56
15125dd3e56
hexb126bc80

2972105856 has 96 divisors (see below), whose sum is σ = 9002744400. Its totient is φ = 938552832.

The previous prime is 2972105849. The next prime is 2972105881. The reversal of 2972105856 is 6585012792.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46006 + ... + 89781.

Almost surely, 22972105856 is an apocalyptic number.

It is an amenable number.

2972105856 is an abundant number, since it is smaller than the sum of its proper divisors (6030638544).

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

2972105856 is a wasteful number, since it uses less digits than its factorization.

2972105856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135826 (or 135811 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 2972105856 is about 54517.0235431099. The cubic root of 2972105856 is about 1437.7656088508.

The spelling of 2972105856 in words is "two billion, nine hundred seventy-two million, one hundred five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 288 304 342 384 456 576 608 684 912 1152 1216 1368 1824 2432 2736 3648 5472 7296 10944 21888 135787 271574 407361 543148 814722 1086296 1222083 1629444 2172592 2444166 2579953 3258888 4345184 4888332 5159906 6517776 7739859 8690368 9776664 10319812 13035552 15479718 17380736 19553328 20639624 23219577 26071104 30959436 39106656 41279248 46439154 52142208 61918872 78213312 82558496 92878308 123837744 156426624 165116992 185756616 247675488 330233984 371513232 495350976 743026464 990701952 1486052928 2972105856