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161154972 = 2232112914033
BaseRepresentation
bin10011001101100…
…00011110011100
3102020020112001200
421212300132130
5312223424342
623554035500
73664536366
oct1146603634
9366215050
10161154972
1182a71130
1245b78b90
1327506394
141758dd36
15e23494c
hex99b079c

161154972 has 72 divisors (see below), whose sum is σ = 459753840. Its totient is φ = 47147520.

The previous prime is 161154971. The next prime is 161155031. The reversal of 161154972 is 279451161.

161154972 is a `hidden beast` number, since 161 + 1 + 5 + 497 + 2 = 666.

161154972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161154971) 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, 4468 + ... + 18500.

It is an arithmetic number, because the mean of its divisors is an integer number (6385470).

Almost surely, 2161154972 is an apocalyptic number.

161154972 is a gapful number since it is divisible by the number (12) 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 161154972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229876920).

161154972 is an abundant number, since it is smaller than the sum of its proper divisors (298598868).

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

161154972 is a wasteful number, since it uses less digits than its factorization.

161154972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14083 (or 14078 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 161154972 is about 12694.6828239228. The cubic root of 161154972 is about 544.1866745091.

The spelling of 161154972 in words is "one hundred sixty-one million, one hundred fifty-four thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 319 348 396 522 638 957 1044 1276 1914 2871 3828 5742 11484 14033 28066 42099 56132 84198 126297 154363 168396 252594 308726 406957 463089 505188 617452 813914 926178 1220871 1389267 1627828 1852356 2441742 2778534 3662613 4476527 4883484 5557068 7325226 8953054 13429581 14650452 17906108 26859162 40288743 53718324 80577486 161154972