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55645432544 = 25131936719183
BaseRepresentation
bin110011110100101110…
…011110101011100000
312022122000200212012002
4303310232132223200
51402430212320134
641321350423132
74006642241522
oct636456365340
9168560625162
1055645432544
112166543a089
12a94b661aa8
13532a543660
14299c403a12
1516aa2e087e
hexcf4b9eae0

55645432544 has 96 divisors (see below), whose sum is σ = 124533319680. Its totient is φ = 24263235072.

The previous prime is 55645432523. The next prime is 55645432573. The reversal of 55645432544 is 44523454655.

It is a congruent number.

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, 2891177 + ... + 2910359.

It is an arithmetic number, because the mean of its divisors is an integer number (1297222080).

Almost surely, 255645432544 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 55645432544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62266659840).

55645432544 is an abundant number, since it is smaller than the sum of its proper divisors (68887887136).

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

55645432544 is a wasteful number, since it uses less digits than its factorization.

55645432544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19592 (or 19584 counting only the distinct ones).

The product of its digits is 5760000, while the sum is 47.

The spelling of 55645432544 in words is "fifty-five billion, six hundred forty-five million, four hundred thirty-two thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 208 247 304 367 416 494 608 734 988 1468 1976 2936 3952 4771 5872 6973 7904 9542 11744 13946 19084 19183 27892 38168 38366 55784 76336 76732 90649 111568 152672 153464 181298 223136 249379 306928 362596 364477 498758 613856 725192 728954 997516 1450384 1457908 1995032 2900768 2915816 3990064 4738201 5831632 7040161 7980128 9476402 11663264 14080322 18952804 28160644 37905608 56321288 75811216 91522093 112642576 133763059 151622432 183044186 225285152 267526118 366088372 535052236 732176744 1070104472 1464353488 1738919767 2140208944 2928706976 3477839534 4280417888 6955679068 13911358136 27822716272 55645432544