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972081641920 = 26519315157479
BaseRepresentation
bin11100010010101001001…
…01001011100111000000
310102221010001002212222211
432021110211023213000
5111411310400020140
62022322415111504
7130142042424034
oct16112445134700
93387101085884
10972081641920
11345291821294
12138490212594
137088926462c
143509866a1c4
151a44577a2ea
hexe25494b9c0

972081641920 has 112 divisors (see below), whose sum is σ = 2515199846400. Its totient is φ = 356484879360.

The previous prime is 972081641903. The next prime is 972081641987. The reversal of 972081641920 is 29146180279.

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, 2390260 + ... + 2767219.

Almost surely, 2972081641920 is an apocalyptic number.

It is an amenable number.

972081641920 is an abundant number, since it is smaller than the sum of its proper divisors (1543118204480).

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

972081641920 is a wasteful number, since it uses less digits than its factorization.

972081641920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5157546 (or 5157536 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

The spelling of 972081641920 in words is "nine hundred seventy-two billion, eighty-one million, six hundred forty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 31 32 38 40 62 64 76 80 95 124 152 155 160 190 248 304 310 320 380 496 589 608 620 760 992 1178 1216 1240 1520 1984 2356 2480 2945 3040 4712 4960 5890 6080 9424 9920 11780 18848 23560 37696 47120 94240 188480 5157479 10314958 20629916 25787395 41259832 51574790 82519664 97992101 103149580 159881849 165039328 195984202 206299160 319763698 330078656 391968404 412598320 489960505 639527396 783936808 799409245 825196640 979921010 1279054792 1567873616 1598818490 1650393280 1959842020 2558109584 3037755131 3135747232 3197636980 3919684040 5116219168 6075510262 6271494464 6395273960 7839368080 10232438336 12151020524 12790547920 15188775655 15678736160 24302041048 25581095840 30377551310 31357472320 48604082096 51162191680 60755102620 97208164192 121510205240 194416328384 243020410480 486040820960 972081641920