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1137777010074 = 23537113559939
BaseRepresentation
bin10000100011101000110…
…010110110010110011010
311000202210122011201100000
4100203220302312112122
5122120131403310244
62230404301553430
7145126114005105
oct20435062662632
94022718151300
101137777010074
113a958a507881
12164613275876
13833a4439b83
143d0d673173c
151e8e2229169
hex108e8cb659a

1137777010074 has 96 divisors (see below), whose sum is σ = 2648820807360. Its totient is φ = 365742542592.

The previous prime is 1137777010039. The next prime is 1137777010091. The reversal of 1137777010074 is 4700107777311.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1751997 + ... + 2311935.

It is an arithmetic number, because the mean of its divisors is an integer number (27591883410).

Almost surely, 21137777010074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1137777010074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324410403680).

1137777010074 is an abundant number, since it is smaller than the sum of its proper divisors (1511043797286).

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

1137777010074 is a wasteful number, since it uses less digits than its factorization.

1137777010074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560106 (or 560094 counting only the distinct ones).

The product of its (nonzero) digits is 201684, while the sum is 45.

The spelling of 1137777010074 in words is "one trillion, one hundred thirty-seven billion, seven hundred seventy-seven million, ten thousand, seventy-four".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 113 162 222 226 243 333 339 486 666 678 999 1017 1998 2034 2997 3051 4181 5994 6102 8362 8991 9153 12543 17982 18306 25086 27459 37629 54918 75258 112887 225774 338661 559939 677322 1015983 1119878 1679817 2031966 3359634 5039451 10078902 15118353 20717743 30236706 41435486 45355059 62153229 63273107 90710118 124306458 126546214 136065177 186459687 189819321 272130354 372919374 379638642 559379061 569457963 1118758122 1138915926 1678137183 1708373889 2341104959 3356274366 3416747778 4682209918 5034411549 5125121667 7023314877 10068823098 10250243334 14046629754 15375365001 21069944631 30750730002 42139889262 63209833893 126419667786 189629501679 379259003358 568888505037 1137777010074