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11984769972 = 22327107444473
BaseRepresentation
bin10110010100101100…
…10001001110110100
31010221020110101200100
423022112101032310
5144021100114342
65301123114100
7602664602220
oct131226211664
933836411610
1011984769972
1150a00aa07a
1223a5812930
13118cc61586
148199b5780
154a2262e4c
hex2ca5913b4

11984769972 has 72 divisors (see below), whose sum is σ = 34946323776. Its totient is φ = 3392210304.

The previous prime is 11984769961. The next prime is 11984769997. The reversal of 11984769972 is 27996748911.

11984769972 is a `hidden beast` number, since 1 + 1 + 9 + 8 + 476 + 99 + 72 = 666.

It is a super-2 number, since 2×119847699722 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195273 + ... + 249200.

It is an arithmetic number, because the mean of its divisors is an integer number (485365608).

Almost surely, 211984769972 is an apocalyptic number.

11984769972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11984769972 is an abundant number, since it is smaller than the sum of its proper divisors (22961553804).

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

11984769972 is a wasteful number, since it uses less digits than its factorization.

11984769972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444597 (or 444592 counting only the distinct ones).

The product of its digits is 13716864, while the sum is 63.

The spelling of 11984769972 in words is "eleven billion, nine hundred eighty-four million, seven hundred sixty-nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 107 126 214 252 321 428 642 749 963 1284 1498 1926 2247 2996 3852 4494 6741 8988 13482 26964 444473 888946 1333419 1777892 2666838 3111311 4000257 5333676 6222622 8000514 9333933 12445244 16001028 18667866 28001799 37335732 47558611 56003598 95117222 112007196 142675833 190234444 285351666 332910277 428027499 570703332 665820554 856054998 998730831 1331641108 1712109996 1997461662 2996192493 3994923324 5992384986 11984769972