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55955337648 = 2437503331081
BaseRepresentation
bin110100000111001100…
…101011000110110000
312100102121211200001220
4310013030223012300
51404044031301043
641412221025040
74020424344120
oct640714530660
9170377750056
1055955337648
1121804369401
12aa173b5180
1353797cba62
1429cb634c80
1516c7609483
hexd0732b1b0

55955337648 has 80 divisors (see below), whose sum is σ = 165530405376. Its totient is φ = 15955407360.

The previous prime is 55955337623. The next prime is 55955337661. The reversal of 55955337648 is 84673355955.

It is a super-2 number, since 2×559553376482 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55955337591 and 55955337600.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3468 + ... + 334548.

Almost surely, 255955337648 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 55955337648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82765202688).

55955337648 is an abundant number, since it is smaller than the sum of its proper divisors (109575067728).

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

55955337648 is a wasteful number, since it uses less digits than its factorization.

55955337648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331602 (or 331596 counting only the distinct ones).

The product of its digits is 68040000, while the sum is 60.

The spelling of 55955337648 in words is "fifty-five billion, nine hundred fifty-five million, three hundred thirty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 503 1006 1509 2012 3018 3521 4024 6036 7042 8048 10563 12072 14084 21126 24144 28168 42252 56336 84504 169008 331081 662162 993243 1324324 1986486 2317567 2648648 3972972 4635134 5297296 6952701 7945944 9270268 13905402 15891888 18540536 27810804 37081072 55621608 111243216 166533743 333067486 499601229 666134972 999202458 1165736201 1332269944 1998404916 2331472402 2664539888 3497208603 3996809832 4662944804 6994417206 7993619664 9325889608 13988834412 18651779216 27977668824 55955337648