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129982017152 = 2713372720959
BaseRepresentation
bin111100100001110001…
…0000010111010000000
3110102111200002121210102
41321003202002322000
54112200344022102
6135413553421532
712251034626141
oct1710342027200
9412450077712
10129982017152
1150141507379
122123686a8a8
13c3462495b0
146410d47ac8
1535ab4b0402
hex1e43882e80

129982017152 has 64 divisors (see below), whose sum is σ = 278955801600. Its totient is φ = 59972742144.

The previous prime is 129982017133. The next prime is 129982017197. The reversal of 129982017152 is 251710289921.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1299820171522 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 129982017097 and 129982017106.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6191249 + ... + 6212207.

It is an arithmetic number, because the mean of its divisors is an integer number (4358684400).

Almost surely, 2129982017152 is an apocalyptic number.

It is an amenable number.

129982017152 is an abundant number, since it is smaller than the sum of its proper divisors (148973784448).

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

129982017152 is a wasteful number, since it uses less digits than its factorization.

129982017152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24713 (or 24701 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 47.

The spelling of 129982017152 in words is "one hundred twenty-nine billion, nine hundred eighty-two million, seventeen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 3727 7454 14908 20959 29816 41918 48451 59632 83836 96902 119264 167672 193804 238528 272467 335344 387608 477056 544934 670688 775216 1089868 1341376 1550432 2179736 2682752 3100864 4359472 6201728 8718944 17437888 34875776 78114193 156228386 312456772 624913544 1015484509 1249827088 2030969018 2499654176 4061938036 4999308352 8123876072 9998616704 16247752144 32495504288 64991008576 129982017152