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161216064 = 26321914731
BaseRepresentation
bin10011001101111…
…11011001000000
3102020100121212100
421212333121000
5312232403224
623555230400
73665212452
oct1146773100
9366317770
10161216064
1183003019
1245ba8400
1327528129
14175a82d2
15e247ac9
hex99bf640

161216064 has 84 divisors (see below), whose sum is σ = 486450640. Its totient is φ = 50906880.

The previous prime is 161216053. The next prime is 161216071. The reversal of 161216064 is 460612161.

161216064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3579 + ... + 18309.

Almost surely, 2161216064 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 161216064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243225320).

161216064 is an abundant number, since it is smaller than the sum of its proper divisors (325234576).

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

161216064 is a wasteful number, since it uses less digits than its factorization.

161216064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14768 (or 14755 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 161216064 is about 12697.0888001935. The cubic root of 161216064 is about 544.2554307955.

It can be divided in two parts, 161 and 216064, that added together give a square (216225 = 4652).

The spelling of 161216064 in words is "one hundred sixty-one million, two hundred sixteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1368 1824 2736 3648 5472 10944 14731 29462 44193 58924 88386 117848 132579 176772 235696 265158 279889 353544 471392 530316 559778 707088 839667 942784 1060632 1119556 1414176 1679334 2121264 2239112 2519001 2828352 3358668 4242528 4478224 5038002 6717336 8485056 8956448 10076004 13434672 17912896 20152008 26869344 40304016 53738688 80608032 161216064