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161379737304 = 23347619724179
BaseRepresentation
bin1001011001001011111…
…0110101111011011000
3120102112211110001202120
42112102332311323120
510121001203043204
6202045315501240
714442066063642
oct2262276657330
9512484401676
10161379737304
1162493722225
12273398b7820
13122ab072526
147b4cc6d892
1542e7b7d6d9
hex2592fb5ed8

161379737304 has 128 divisors (see below), whose sum is σ = 423122918400. Its totient is φ = 51249623040.

The previous prime is 161379737303. The next prime is 161379737329. The reversal of 161379737304 is 403737973161.

It is a super-2 number, since 2×1613797373042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161379737303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6662287 + ... + 6686465.

It is an arithmetic number, because the mean of its divisors is an integer number (3305647800).

Almost surely, 2161379737304 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 161379737304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211561459200).

161379737304 is an abundant number, since it is smaller than the sum of its proper divisors (261743181096).

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

161379737304 is a wasteful number, since it uses less digits than its factorization.

161379737304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24393 (or 24389 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 51.

The spelling of 161379737304 in words is "one hundred sixty-one billion, three hundred seventy-nine million, seven hundred thirty-seven thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 24 47 61 94 97 122 141 183 188 194 244 282 291 366 376 388 488 564 582 732 776 1128 1164 1464 2328 2867 4559 5734 5917 8601 9118 11468 11834 13677 17202 17751 18236 22936 23668 24179 27354 34404 35502 36472 47336 48358 54708 68808 71004 72537 96716 109416 142008 145074 193432 278099 290148 556198 580296 834297 1112396 1136413 1474919 1668594 2224792 2272826 2345363 2949838 3337188 3409239 4424757 4545652 4690726 5899676 6674376 6818478 7036089 8849514 9091304 9381452 11799352 13636956 14072178 17699028 18762904 27273912 28144356 35398056 56288712 69321193 110232061 138642386 143067143 207963579 220464122 277284772 286134286 330696183 415927158 429201429 440928244 554569544 572268572 661392366 831854316 858402858 881856488 1144537144 1322784732 1663708632 1716805716 2645569464 3433611432 6724155721 13448311442 20172467163 26896622884 40344934326 53793245768 80689868652 161379737304