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1553871943936 = 281344612
BaseRepresentation
bin10110100111001001111…
…111000011100100000000
312111112211000012102220101
4112213021333003210000
5200424312204201221
63145501112252144
7220156252411414
oct26471177034400
95445730172811
101553871943936
11549aa2226204
122111986a1054
13b36b63c0000
14552ca2d8d44
152a646b1bd91
hex169c9fc3900

1553871943936 has 135 divisors (see below), whose sum is σ = 3367442478533. Its totient is φ = 715615979520.

The previous prime is 1553871943933. The next prime is 1553871943957. The reversal of 1553871943936 is 6393491783551.

The square root of 1553871943936 is 1246544.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 1504410183936 + 49461760000 = 1226544^2 + 222400^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1553871943933) 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 14 ways as a sum of consecutive naturals, for example, 3370654746 + ... + 3370655206.

Almost surely, 21553871943936 is an apocalyptic number.

1553871943936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1553871943936 is the 1246544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1553871943936

1553871943936 is an abundant number, since it is smaller than the sum of its proper divisors (1813570534597).

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

1553871943936 is an frugal number, since it uses more digits than its factorization.

1553871943936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 476 counting only the distinct ones).

The product of its digits is 73483200, while the sum is 64.

Multiplying 1553871943936 by its sum of digits (64), we get a square (99447804411904 = 99723522).

1553871943936 divided by its sum of digits (64) gives a square (24279249124 = 1558182).

The spelling of 1553871943936 in words is "one trillion, five hundred fifty-three billion, eight hundred seventy-one million, nine hundred forty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 461 676 832 922 1352 1664 1844 2197 2704 3328 3688 4394 5408 5993 7376 8788 10816 11986 14752 17576 21632 23972 28561 29504 35152 43264 47944 57122 59008 70304 77909 95888 114244 118016 140608 155818 191776 212521 228488 281216 311636 383552 425042 456976 562432 623272 767104 850084 913952 1012817 1246544 1534208 1700168 1827904 2025634 2493088 2762773 3400336 3655808 4051268 4986176 5525546 6800672 7311616 8102536 9972352 11051092 13166621 13601344 16205072 19944704 22102184 26333242 27202688 32410144 35916049 44204368 52666484 54405376 64820288 71832098 88408736 105332968 129640576 143664196 176817472 210665936 259281152 287328392 353634944 421331872 466908637 574656784 707269888 842663744 933817274 1149313568 1685327488 1867634548 2298627136 3370654976 3735269096 4597254272 6069812281 7470538192 9194508544 12139624562 14941076384 24279249124 29882152768 48558498248 59764305536 97116996496 119528611072 194233992992 388467985984 776935971968 1553871943936