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161613776064 = 26313293922031
BaseRepresentation
bin1001011010000011101…
…1101000010011000000
3120110011010211110120210
42112200323220103000
510121441111313224
6202124440034120
714450640300456
oct2264073502300
9513133743523
10161613776064
11625a3843a94
12273a4162940
13123176b6bc0
147b71d929d6
15430d4ad429
hex25a0ee84c0

161613776064 has 112 divisors (see below), whose sum is σ = 460673256960. Its totient is φ = 49708139520.

The previous prime is 161613776017. The next prime is 161613776089. The reversal of 161613776064 is 460677316161.

It is a super-2 number, since 2×1616137760642 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7324729 + ... + 7346759.

It is an arithmetic number, because the mean of its divisors is an integer number (4113154080).

Almost surely, 2161613776064 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 161613776064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230336628480).

161613776064 is an abundant number, since it is smaller than the sum of its proper divisors (299059480896).

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

161613776064 is a wasteful number, since it uses less digits than its factorization.

161613776064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24998 (or 24988 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 161613776064 in words is "one hundred sixty-one billion, six hundred thirteen million, seven hundred seventy-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 2939 5878 8817 11756 17634 22031 23512 35268 38207 44062 47024 66093 70536 76414 88124 94048 114621 132186 141072 152828 176248 188096 229242 264372 282144 286403 305656 352496 458484 528744 564288 572806 611312 704992 859209 916968 1057488 1145612 1222624 1409984 1718418 1833936 2114976 2291224 2445248 3436836 3667872 4229952 4582448 6873672 7335744 9164896 13747344 18329792 27494688 54989376 64749109 129498218 194247327 258996436 388494654 517992872 776989308 841738417 1035985744 1553978616 1683476834 2071971488 2525215251 3107957232 3366953668 4143942976 5050430502 6215914464 6733907336 10100861004 12431828928 13467814672 20201722008 26935629344 40403444016 53871258688 80806888032 161613776064