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161696656 = 24112174
BaseRepresentation
bin10011010001101…
…00101110010000
3102021021001010001
421220310232100
5312343243111
624013415344
74002253552
oct1150645620
9367231101
10161696656
1183301100
124619a554
1327665ac4
14176914d2
15e2e01c1
hex9a34b90

161696656 has 75 divisors (see below), whose sum is σ = 365879143. Its totient is φ = 69175040.

The previous prime is 161696653. The next prime is 161696659. The reversal of 161696656 is 656696161.

The square root of 161696656 is 12716.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (161696653) and next prime (161696659).

It can be written as a sum of positive squares in 2 ways, for example, as 50183056 + 111513600 = 7084^2 + 10560^2 .

It is a super-2 number, since 2×1616966562 = 52291617123164672, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (349920) is a multiple of the sum of its prime divisors (30).

It is not an unprimeable number, because it can be changed into a prime (161696653) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 9511560 + ... + 9511576.

Almost surely, 2161696656 is an apocalyptic number.

161696656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

161696656 is the 12716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161696656

161696656 is an abundant number, since it is smaller than the sum of its proper divisors (204182487).

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

161696656 is an frugal number, since it uses more digits than its factorization.

161696656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 30 counting only the distinct ones).

The product of its digits is 349920, while the sum is 46.

The cubic root of 161696656 is about 544.7957105442.

The spelling of 161696656 in words is "one hundred sixty-one million, six hundred ninety-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 121 136 176 187 242 272 289 374 484 578 748 968 1156 1496 1936 2057 2312 2992 3179 4114 4624 4913 6358 8228 9826 12716 16456 19652 25432 32912 34969 39304 50864 54043 69938 78608 83521 108086 139876 167042 216172 279752 334084 432344 559504 594473 668168 864688 918731 1188946 1336336 1837462 2377892 3674924 4755784 7349848 9511568 10106041 14699696 20212082 40424164 80848328 161696656