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3986462129208 = 23313291792461399
BaseRepresentation
bin111010000000101011101…
…010001011110000111000
3112010002202101210121110020
4322000223222023300320
51010303233301113313
612251204434250440
7561004151002056
oct72005352136070
915102671717406
103986462129208
1112a7715a439a9
1254472a126a20
1322bbca1722c0
14dad353a11d6
156da6c70e323
hex3a02ba8bc38

3986462129208 has 128 divisors (see below), whose sum is σ = 11164910400000. Its totient is φ = 1177690332672.

The previous prime is 3986462129207. The next prime is 3986462129227. The reversal of 3986462129208 is 8029212646893.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3986462129207) 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 31 ways as a sum of consecutive naturals, for example, 388893 + ... + 2850291.

It is an arithmetic number, because the mean of its divisors is an integer number (87225862500).

Almost surely, 23986462129208 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 3986462129208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5582455200000).

3986462129208 is an abundant number, since it is smaller than the sum of its proper divisors (7178448270792).

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

3986462129208 is a wasteful number, since it uses less digits than its factorization.

3986462129208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2461629 (or 2461625 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 60.

The spelling of 3986462129208 in words is "three trillion, nine hundred eighty-six billion, four hundred sixty-two million, one hundred twenty-nine thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 174 179 232 312 348 358 377 537 696 716 754 1074 1131 1432 1508 2148 2262 2327 3016 4296 4524 4654 5191 6981 9048 9308 10382 13962 15573 18616 20764 27924 31146 41528 55848 62292 67483 124584 134966 202449 269932 404898 539864 809796 1619592 2461399 4922798 7384197 9845596 14768394 19691192 29536788 31998187 59073576 63996374 71380571 95994561 127992748 142761142 191989122 214141713 255985496 285522284 383978244 428283426 440590421 571044568 767956488 856566852 881180842 927947423 1321771263 1713133704 1762361684 1855894846 2643542526 2783842269 3524723368 3711789692 5287085052 5567684538 5727675473 7423579384 10574170104 11135369076 11455350946 12777122209 17183026419 22270738152 22910701892 25554244418 34366052838 38331366627 45821403784 51108488836 68732105676 76662733254 102216977672 137464211352 153325466508 166102588717 306650933016 332205177434 498307766151 664410354868 996615532302 1328820709736 1993231064604 3986462129208