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55739905074 = 23273166121589
BaseRepresentation
bin110011111010010110…
…110111010000110010
312022212121110120010200
4303322112313100302
51403123403430244
641335003340030
74012200242610
oct637226672062
9168777416120
1055739905074
11217037a5757
12a977221616
135343ca0269
1429aab966b0
1516b3752669
hexcfa5b7432

55739905074 has 96 divisors (see below), whose sum is σ = 142697118720. Its totient is φ = 15387926400.

The previous prime is 55739905061. The next prime is 55739905087. The reversal of 55739905074 is 47050993755.

55739905074 is a `hidden beast` number, since 557 + 39 + 9 + 0 + 50 + 7 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (55739905061) and next prime (55739905087).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 55739905074.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2571072 + ... + 2592660.

It is an arithmetic number, because the mean of its divisors is an integer number (1486428320).

Almost surely, 255739905074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55739905074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71348559360).

55739905074 is an abundant number, since it is smaller than the sum of its proper divisors (86957213646).

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

55739905074 is a wasteful number, since it uses less digits than its factorization.

55739905074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22296 (or 22293 counting only the distinct ones).

The product of its (nonzero) digits is 5953500, while the sum is 54.

The spelling of 55739905074 in words is "fifty-five billion, seven hundred thirty-nine million, nine hundred five thousand, seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 651 661 1302 1322 1953 1983 3906 3966 4627 5949 9254 11898 13881 20491 21589 27762 40982 41643 43178 61473 64767 83286 122946 129534 143437 151123 184419 194301 286874 302246 368838 388602 430311 453369 669259 860622 906738 1290933 1338518 1360107 2007777 2581866 2720214 4015554 4684813 6023331 9369626 12046662 14054439 14270329 28108878 28540658 42163317 42810987 84326634 85621974 99892303 128432961 199784606 256865922 299676909 442380199 599353818 884760398 899030727 1327140597 1798061454 2654281194 3096661393 3981421791 6193322786 7962843582 9289984179 18579968358 27869952537 55739905074