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1311646317872 = 2411131373152519
BaseRepresentation
bin10011000101100100001…
…101100111110100110000
311122101120212221200220112
4103011210031213310300
5132442222424132442
62442321220400452
7163522550514032
oct23054415476460
94571525850815
101311646317872
114662a2174190
12192257846128
13968c2bb6aa7
14476ac21bc52
15241bb5d1082
hex13164367d30

1311646317872 has 80 divisors (see below), whose sum is σ = 2801013937920. Its totient is φ = 590061638400.

The previous prime is 1311646317841. The next prime is 1311646317881. The reversal of 1311646317872 is 2787136461131.

It is a self number, because there is not a number n which added to its sum of digits gives 1311646317872.

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 15 ways as a sum of consecutive naturals, for example, 8523629 + ... + 8676147.

It is an arithmetic number, because the mean of its divisors is an integer number (35012674224).

Almost surely, 21311646317872 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 1311646317872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400506968960).

1311646317872 is an abundant number, since it is smaller than the sum of its proper divisors (1489367620048).

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

1311646317872 is a wasteful number, since it uses less digits than its factorization.

1311646317872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153042 (or 153036 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 50.

The spelling of 1311646317872 in words is "one trillion, three hundred eleven billion, six hundred forty-six million, three hundred seventeen thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 44 88 131 176 262 373 524 746 1048 1441 1492 2096 2882 2984 4103 5764 5968 8206 11528 16412 23056 32824 48863 65648 97726 152519 195452 305038 390904 537493 610076 781808 1074986 1220152 1677709 2149972 2440304 3355418 4299944 6710836 8599888 13421672 19979989 26843344 39959978 56889587 79919956 113779174 159839912 219779879 227558348 319679824 439559758 455116696 625785457 879119516 910233392 1251570914 1758239032 2503141828 3516478064 5006283656 7452535897 10012567312 14905071794 29810143588 59620287176 81977894867 119240574352 163955789734 327911579468 655823158936 1311646317872