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129138214860 = 223251759371167
BaseRepresentation
bin111100001000100111…
…1001100011111001100
3110100022212100000122200
41320101033030133030
54103433340333420
6135154132041500
712221110500144
oct1702117143714
9410285300580
10129138214860
114a849179206
1221040163290
13c24049b2b5
146370c59924
15355c384b90
hex1e113cc7cc

129138214860 has 144 divisors (see below), whose sum is σ = 415466827776. Its totient is φ = 32356048896.

The previous prime is 129138214841. The next prime is 129138214879. The reversal of 129138214860 is 68412831921.

129138214860 is a `hidden beast` number, since 1 + 2 + 91 + 3 + 82 + 1 + 486 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (129138214841) and next prime (129138214879).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1778997 + ... + 1850163.

It is an arithmetic number, because the mean of its divisors is an integer number (2885186304).

Almost surely, 2129138214860 is an apocalyptic number.

129138214860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129138214860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207733413888).

129138214860 is an abundant number, since it is smaller than the sum of its proper divisors (286328612916).

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

129138214860 is a wasteful number, since it uses less digits than its factorization.

129138214860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71792 (or 71787 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 129138214860 in words is "one hundred twenty-nine billion, one hundred thirty-eight million, two hundred fourteen thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 593 612 765 1020 1186 1530 1779 2372 2965 3060 3558 5337 5930 7116 8895 10081 10674 11860 17790 20162 21348 26685 30243 35580 40324 50405 53370 60486 71167 90729 100810 106740 120972 142334 151215 181458 201620 213501 284668 302430 355835 362916 427002 453645 604860 640503 711670 854004 907290 1067505 1209839 1281006 1423340 1814580 2135010 2419678 2562012 3202515 3629517 4270020 4839356 6049195 6405030 7259034 10888551 12098390 12810060 14518068 18147585 21777102 24196780 36295170 42202031 43554204 54442755 72590340 84404062 108885510 126606093 168808124 211010155 217771020 253212186 379818279 422020310 506424372 633030465 717434527 759636558 844040620 1266060930 1434869054 1519273116 1899091395 2152303581 2532121860 2869738108 3587172635 3798182790 4304607162 6456910743 7174345270 7596365580 8609214324 10761517905 12913821486 14348690540 21523035810 25827642972 32284553715 43046071620 64569107430 129138214860