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55674044761000 = 2353433313911617
BaseRepresentation
bin11001010100010100111111…
…01010010100001110101000
321022010101102220102000220211
430222022133222110032220
524244130420424323000
6314224145244230504
714504213505212131
oct1452123752241650
9238111386360824
1055674044761000
1116815258936aa6
1262b2004b3b434
13250b069853393
14da68d10d2c88
156683229777ba
hex32a29fa943a8

55674044761000 has 128 divisors (see below), whose sum is σ = 133709742840960. Its totient is φ = 21685999104000.

The previous prime is 55674044760989. The next prime is 55674044761019. The reversal of 55674044761000 is 16744047655.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12277192 + ... + 16188808.

It is an arithmetic number, because the mean of its divisors is an integer number (1044607365945).

Almost surely, 255674044761000 is an apocalyptic number.

55674044761000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55674044761000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66854871420480).

55674044761000 is an abundant number, since it is smaller than the sum of its proper divisors (78035698079960).

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

55674044761000 is a wasteful number, since it uses less digits than its factorization.

55674044761000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3912012 (or 3911998 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 49.

The spelling of 55674044761000 in words is "fifty-five trillion, six hundred seventy-four billion, forty-four million, seven hundred sixty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 125 172 200 215 250 331 344 430 500 662 860 1000 1075 1324 1655 1720 2150 2648 3310 4300 5375 6620 8275 8600 10750 13240 14233 16550 21500 28466 33100 41375 43000 56932 66200 71165 82750 113864 142330 165500 284660 331000 355825 569320 711650 1423300 1779125 2846600 3558250 3911617 7116500 7823234 14233000 15646468 19558085 31292936 39116170 78232340 97790425 156464680 168199531 195580850 336399062 391161700 488952125 672798124 782323400 840997655 977904250 1294745227 1345596248 1681995310 1955808500 2589490454 3363990620 3911617000 4204988275 5178980908 6473726135 6727981240 8409976550 10357961816 12947452270 16819953100 21024941375 25894904540 32368630675 33639906200 42049882750 51789809080 55674044761 64737261350 84099765500 111348089522 129474522700 161843153375 168199531000 222696179044 258949045400 278370223805 323686306750 445392358088 556740447610 647372613500 1113480895220 1294745227000 1391851119025 2226961790440 2783702238050 5567404476100 6959255595125 11134808952200 13918511190250 27837022380500 55674044761000