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11980017972 = 22321329882701
BaseRepresentation
bin10110010100001000…
…01001000100110100
31010220220111222011100
423022010021010310
5144013341033342
65300433210100
7602606321046
oct131204110464
933826458140
1011980017972
1150984538aa
1223a4100930
13118bc89640
148190d9a96
154a1b24e4c
hex2ca109134

11980017972 has 72 divisors (see below), whose sum is σ = 33736870440. Its totient is φ = 3559046400.

The previous prime is 11980017971. The next prime is 11980018003. The reversal of 11980017972 is 27971008911.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 890664336 + 11089353636 = 29844^2 + 105306^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11980017971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 427779 + ... + 454922.

It is an arithmetic number, because the mean of its divisors is an integer number (468567645).

Almost surely, 211980017972 is an apocalyptic number.

11980017972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11980017972 is an abundant number, since it is smaller than the sum of its proper divisors (21756852468).

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

11980017972 is a wasteful number, since it uses less digits than its factorization.

11980017972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882753 (or 882748 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 45.

The spelling of 11980017972 in words is "eleven billion, nine hundred eighty million, seventeen thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 156 174 234 261 348 377 468 522 754 1044 1131 1508 2262 3393 4524 6786 13572 882701 1765402 2648103 3530804 5296206 7944309 10592412 11475113 15888618 22950226 25598329 31777236 34425339 45900452 51196658 68850678 76794987 102393316 103276017 137701356 153589974 206552034 230384961 307179948 332778277 413104068 460769922 665556554 921539844 998334831 1331113108 1996669662 2995004493 3993339324 5990008986 11980017972