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161500510656 = 26321229228139
BaseRepresentation
bin1001011001101000101…
…1100011100111000000
3120102212020200222122200
42112122023203213000
510121223112320111
6202105312233200
714445063455562
oct2263213434700
9512766628580
10161500510656
1162545912011
122737223b800
13122ca0aa454
147b60d0b332
154303588256
hex259a2e39c0

161500510656 has 84 divisors (see below), whose sum is σ = 463290742200. Its totient is φ = 53789465088.

The previous prime is 161500510643. The next prime is 161500510681. The reversal of 161500510656 is 656015005161.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 161500510656.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 593835 + ... + 821973.

Almost surely, 2161500510656 is an apocalyptic number.

161500510656 is a gapful number since it is divisible by the number (16) 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 161500510656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231645371100).

161500510656 is an abundant number, since it is smaller than the sum of its proper divisors (301790231544).

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

161500510656 is a wasteful number, since it uses less digits than its factorization.

161500510656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229386 (or 229373 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 161500510656 in words is "one hundred sixty-one billion, five hundred million, five hundred ten thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1229 2458 3687 4916 7374 9832 11061 14748 19664 22122 29496 39328 44244 58992 78656 88488 117984 176976 228139 235968 353952 456278 684417 707904 912556 1368834 1825112 2053251 2737668 3650224 4106502 5475336 7300448 8213004 10950672 14600896 16426008 21901344 32852016 43802688 65704032 131408064 280382831 560765662 841148493 1121531324 1682296986 2243062648 2523445479 3364593972 4486125296 5046890958 6729187944 8972250592 10093781916 13458375888 17944501184 20187563832 26916751776 40375127664 53833503552 80750255328 161500510656