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160034793948 = 2232193129325759
BaseRepresentation
bin1001010100001011010…
…0010010100111011100
3120022002002200212022200
42111002310102213130
510110222401401243
6201304033011500
714363545206201
oct2250264224734
9508062625280
10160034793948
1161963518397
12270233b3b90
131212552c963
147a623adca8
154269a61ad3
hex2542d129dc

160034793948 has 144 divisors (see below), whose sum is σ = 441077145600. Its totient is φ = 48738257280.

The previous prime is 160034793931. The next prime is 160034793949. The reversal of 160034793948 is 849397430061.

It is a happy number.

160034793948 is a `hidden beast` number, since 160 + 0 + 3 + 479 + 3 + 9 + 4 + 8 = 666.

160034793948 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1600347939482 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 160034793894 and 160034793903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160034793949) 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, 6199893 + ... + 6225651.

Almost surely, 2160034793948 is an apocalyptic number.

160034793948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 160034793948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220538572800).

160034793948 is an abundant number, since it is smaller than the sum of its proper divisors (281042351652).

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

160034793948 is a wasteful number, since it uses less digits than its factorization.

160034793948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26112 (or 26107 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 160034793948 in words is "one hundred sixty billion, thirty-four million, seven hundred ninety-three thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 31 36 38 57 62 76 93 114 124 171 186 228 279 293 342 372 558 586 589 684 879 1116 1172 1178 1758 1767 2356 2637 3516 3534 5274 5301 5567 7068 9083 10548 10602 11134 16701 18166 21204 22268 25759 27249 33402 36332 50103 51518 54498 66804 77277 81747 100206 103036 108996 154554 163494 172577 200412 231831 309108 326988 345154 463662 489421 517731 690308 798529 927324 978842 1035462 1468263 1553193 1597058 1957684 2070924 2395587 2936526 3106386 3194116 4404789 4791174 5873052 6212772 7186761 7547387 8809578 9582348 14373522 15094774 15172051 17619156 22642161 28747044 30189548 30344102 45284322 45516153 60688204 67926483 90568644 91032306 135852966 136548459 143400353 182064612 233968997 271705932 273096918 286800706 430201059 467937994 546193836 573601412 701906991 860402118 935875988 1290603177 1403813982 1720804236 2105720973 2581206354 2807627964 4211441946 4445410943 5162412708 8422883892 8890821886 13336232829 17781643772 26672465658 40008698487 53344931316 80017396974 160034793948