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55127634072 = 23373716354409
BaseRepresentation
bin110011010101110111…
…001111000010011000
312021021221100222012220
4303111313033002120
51400400133242242
641154132304040
73661054105140
oct632567170230
9167257328186
1055127634072
112141a126465
12a826172020
135277199224
14294d737920
151679b0dbec
hexcd5dcf098

55127634072 has 128 divisors (see below), whose sum is σ = 162759897600. Its totient is φ = 15230757888.

The previous prime is 55127634049. The next prime is 55127634073. The reversal of 55127634072 is 27043672155.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55127634073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 986004 + ... + 1040412.

It is an arithmetic number, because the mean of its divisors is an integer number (1271561700).

Almost surely, 255127634072 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 55127634072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81379948800).

55127634072 is an abundant number, since it is smaller than the sum of its proper divisors (107632263528).

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

55127634072 is a wasteful number, since it uses less digits than its factorization.

55127634072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54625 (or 54621 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 55127634072 in words is "fifty-five billion, one hundred twenty-seven million, six hundred thirty-four thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 163 168 222 259 296 326 444 489 518 652 777 888 978 1036 1141 1304 1554 1956 2072 2282 3108 3423 3912 4564 6031 6216 6846 9128 12062 13692 18093 24124 27384 36186 42217 48248 54409 72372 84434 108818 126651 144744 163227 168868 217636 253302 326454 337736 380863 435272 506604 652908 761726 1013208 1142589 1305816 1523452 2013133 2285178 3046904 4026266 4570356 6039399 8052532 8868667 9140712 12078798 14091931 16105064 17737334 24157596 26606001 28183862 35474668 42275793 48315192 53212002 56367724 62080669 70949336 84551586 106424004 112735448 124161338 169103172 186242007 212848008 248322676 328140679 338206344 372484014 496645352 656281358 744968028 984422037 1312562716 1489936056 1968844074 2296984753 2625125432 3937688148 4593969506 6890954259 7875376296 9187939012 13781908518 18375878024 27563817036 55127634072