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55578759138 = 232731113125921
BaseRepresentation
bin110011110000110000…
…001000111111100010
312022110101020111110200
4303300300020333202
51402311130243023
641311005410030
74005202441440
oct636060107742
9168411214420
1055578759138
11216308403a1
12a931269916
13531979b036
142993609b90
1516a4520743
hexcf0c08fe2

55578759138 has 96 divisors (see below), whose sum is σ = 143321398272. Its totient is φ = 15231283200.

The previous prime is 55578759133. The next prime is 55578759161. The reversal of 55578759138 is 83195787555.

55578759138 is a `hidden beast` number, since 5 + 5 + 5 + 7 + 8 + 7 + 591 + 38 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (55578759133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 378418 + ... + 504338.

It is an arithmetic number, because the mean of its divisors is an integer number (1492931232).

Almost surely, 255578759138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55578759138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71660699136).

55578759138 is an abundant number, since it is smaller than the sum of its proper divisors (87742639134).

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

55578759138 is a wasteful number, since it uses less digits than its factorization.

55578759138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126080 (or 126077 counting only the distinct ones).

The product of its digits is 52920000, while the sum is 63.

The spelling of 55578759138 in words is "fifty-five billion, five hundred seventy-eight million, seven hundred fifty-nine thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 113 126 186 217 226 279 339 434 558 651 678 791 1017 1302 1582 1953 2034 2373 3503 3906 4746 7006 7119 10509 14238 21018 24521 31527 49042 63054 73563 125921 147126 220689 251842 377763 441378 755526 881447 1133289 1762894 2266578 2644341 3903551 5288682 7807102 7933023 11710653 14229073 15866046 23421306 27324857 28458146 35131959 42687219 54649714 70263918 81974571 85374438 99603511 128061657 163949142 199207022 245923713 256123314 298810533 441101263 491847426 597621066 882202526 896431599 1323303789 1792863198 2646607578 3087708841 3969911367 6175417682 7939822734 9263126523 18526253046 27789379569 55578759138