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6102148932 = 2235114712143
BaseRepresentation
bin1011010111011011…
…10110011101000100
3120202021021021200000
411223231312131010
544444122231212
62445302121300
7304134260445
oct55355663504
916667237600
106102148932
11265155a8a0
121223720230
137632b2719
1441c5dd2cc
1525aab41dc
hex16bb76744

6102148932 has 144 divisors (see below), whose sum is σ = 17823117312. Its totient is φ = 1809643680.

The previous prime is 6102148931. The next prime is 6102148933. The reversal of 6102148932 is 2398412016.

6102148932 is a `hidden beast` number, since 610 + 2 + 1 + 4 + 8 + 9 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (6102148931) and next prime (6102148933).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6102148931) by changing a digit.

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, 496453 + ... + 508595.

It is an arithmetic number, because the mean of its divisors is an integer number (123771648).

Almost surely, 26102148932 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6102148932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8911558656).

6102148932 is an abundant number, since it is smaller than the sum of its proper divisors (11720968380).

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

6102148932 is a wasteful number, since it uses less digits than its factorization.

6102148932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12220 (or 12206 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 6102148932 is about 78116.2526750996. The cubic root of 6102148932 is about 1827.3746713937.

The spelling of 6102148932 in words is "six billion, one hundred two million, one hundred forty-eight thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 47 54 66 81 94 99 108 132 141 162 188 198 243 282 297 324 396 423 486 517 564 594 846 891 972 1034 1188 1269 1551 1692 1782 2068 2538 2673 3102 3564 3807 4653 5076 5346 6204 7614 9306 10692 11421 12143 13959 15228 18612 22842 24286 27918 36429 41877 45684 48572 55836 72858 83754 109287 125631 133573 145716 167508 218574 251262 267146 327861 400719 437148 502524 534292 570721 655722 801438 983583 1141442 1202157 1311444 1602876 1712163 1967166 2282884 2404314 2950749 3424326 3606471 3934332 4808628 5136489 5901498 6277931 6848652 7212942 10272978 10819413 11802996 12555862 14425884 15409467 18833793 20545956 21638826 25111724 30818934 32458239 37667586 43277652 46228401 56501379 61637868 64916478 75335172 92456802 113002758 129832956 138685203 169504137 184913604 226005516 277370406 339008274 508512411 554740812 678016548 1017024822 1525537233 2034049644 3051074466 6102148932