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812820140132 = 22711132132111821
BaseRepresentation
bin10111101001111111101…
…10110001000001100100
32212201000211111100002112
423310333312301001210
5101304123423441012
61421223204300152
7112503304123610
oct13647766610144
92781024440075
10812820140132
11293795862830
121116439a1658
135b857cc6200
142b4aac72340
1516223a67122
hexbd3fdb1064

812820140132 has 144 divisors (see below), whose sum is σ = 1921953043584. Its totient is φ = 292076928000.

The previous prime is 812820140117. The next prime is 812820140141. The reversal of 812820140132 is 231041028218.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68754782 + ... + 68766602.

It is an arithmetic number, because the mean of its divisors is an integer number (13346896136).

Almost surely, 2812820140132 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 812820140132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960976521792).

812820140132 is an abundant number, since it is smaller than the sum of its proper divisors (1109132903452).

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

812820140132 is a wasteful number, since it uses less digits than its factorization.

812820140132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13190 (or 13175 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The spelling of 812820140132 in words is "eight hundred twelve billion, eight hundred twenty million, one hundred forty thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 169 182 286 308 338 364 572 676 1001 1183 1321 1859 2002 2366 2642 3718 4004 4732 5284 7436 9247 11821 13013 14531 17173 18494 23642 26026 29062 34346 36988 47284 52052 58124 68692 82747 101717 120211 130031 153673 165494 188903 203434 223249 240422 260062 307346 330988 377806 406868 446498 480844 520124 614692 755612 892996 910217 1075711 1322321 1562743 1690403 1820434 1997749 2151422 2455739 2644642 3125486 3380806 3640868 3995498 4302844 4911478 5289284 6250972 6761612 7990996 9822956 11832821 13984243 15615541 17190173 21975239 23665642 27968486 31231082 34380346 43950478 47331284 55936972 62462164 68760692 87900956 109308787 153826673 171770951 203002033 218617574 307653346 343541902 406004066 437235148 615306692 687083804 812008132 1202396657 1421014231 2233022363 2404793314 2639026429 2842028462 4466044726 4809586628 5278052858 5684056924 8932089452 10556105716 15631156541 18473185003 29029290719 31262313082 36946370006 58058581438 62524626164 73892740012 116117162876 203205035033 406410070066 812820140132