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161168407920 = 243251317218847
BaseRepresentation
bin1001011000011001100…
…0101011110101110000
3120102000002210102100100
42112012120223311300
510120033103023140
6202012330152400
714433621602202
oct2260630536560
9512002712310
10161168407920
1162395401343
122729ab82700
131227634c560
147b2cb7c772
1542d4337530
hex258662bd70

161168407920 has 120 divisors (see below), whose sum is σ = 582892442496. Its totient is φ = 39672221184.

The previous prime is 161168407919. The next prime is 161168407927. The reversal of 161168407920 is 29704861161.

161168407920 is a `hidden beast` number, since 1 + 61 + 168 + 407 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1611684079202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161168407927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8600064 + ... + 8618783.

Almost surely, 2161168407920 is an apocalyptic number.

161168407920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

161168407920 is an abundant number, since it is smaller than the sum of its proper divisors (421724034576).

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

161168407920 is a wasteful number, since it uses less digits than its factorization.

161168407920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17218879 (or 17218870 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 161168407920 in words is "one hundred sixty-one billion, one hundred sixty-eight million, four hundred seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 17218847 34437694 51656541 68875388 86094235 103313082 137750776 154969623 172188470 206626164 223845011 258282705 275501552 309939246 344376940 413252328 447690022 516565410 619878492 671535033 688753880 774848115 826504656 895380044 1033130820 1119225055 1239756984 1343070066 1377507760 1549696230 1790760088 2014605099 2066261640 2238450110 2479513968 2686140132 3099392460 3357675165 3581520176 4029210198 4132523280 4476900220 5372280264 6198784920 6715350330 8058420396 8953800440 10073025495 10744560528 12397569840 13430700660 16116840792 17907600880 20146050990 26861401320 32233681584 40292101980 53722802640 80584203960 161168407920