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165070361274 = 237131736072879
BaseRepresentation
bin1001100110111011110…
…1011101001010111010
3120210002001000012002020
42121232331131022322
510201031003030044
6203455434415310
714632411630410
oct2315675351272
9523061005066
10165070361274
1164007a08685
1227ba9891536
13127488625b0
147dbd08d2b0
154461b91a19
hex266ef5d2ba

165070361274 has 128 divisors (see below), whose sum is σ = 409491210240. Its totient is φ = 43197076224.

The previous prime is 165070361251. The next prime is 165070361311. The reversal of 165070361274 is 472163070561.

It is a happy number.

It is a super-2 number, since 2×1650703612742 (a number of 23 digits) contains 22 as substring.

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

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57334567 + ... + 57337445.

It is an arithmetic number, because the mean of its divisors is an integer number (3199150080).

Almost surely, 2165070361274 is an apocalyptic number.

165070361274 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 165070361274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204745605120).

165070361274 is an abundant number, since it is smaller than the sum of its proper divisors (244420848966).

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

165070361274 is a wasteful number, since it uses less digits than its factorization.

165070361274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3684.

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 165070361274 in words is "one hundred sixty-five billion, seventy million, three hundred sixty-one thousand, two hundred seventy-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 173 182 273 346 519 546 607 1038 1211 1214 1821 2249 2422 2879 3633 3642 4249 4498 5758 6747 7266 7891 8498 8637 12747 13494 15743 15782 17274 20153 23673 25494 31486 37427 40306 47229 47346 55237 60459 74854 94458 105011 110474 112281 120918 165711 210022 224562 261989 315033 331422 498067 523978 630066 735077 785967 996134 1365143 1470154 1494201 1571934 1747553 2205231 2730286 2988402 3486469 3495106 4095429 4410462 5242659 6474871 6972938 8190858 9556001 10459407 10485318 12232871 12949742 19112002 19424613 20918814 22718189 24465742 28668003 36698613 38849226 45324097 45436378 57336006 68154567 73397226 90648194 135972291 136309134 159027323 271944582 302326669 318054646 477081969 604653338 906980007 954163938 1813960014 2116286683 3930246697 4232573366 6348860049 7860493394 11790740091 12697720098 23581480182 27511726879 55023453758 82535180637 165070361274