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161476416 = 26363461
BaseRepresentation
bin10011001111111…
…10111101000000
3102020211212000000
421213332331000
5312314221131
624005000000
74000345503
oct1147767500
9366755000
10161476416
1183170692
12460b3000
13275b979a
141763513a
15e299ce6
hex99fef40

161476416 has 98 divisors (see below), whose sum is σ = 480563682. Its totient is φ = 53809920.

The previous prime is 161476397. The next prime is 161476423. The reversal of 161476416 is 614674161.

It is a happy number.

161476416 is a `hidden beast` number, since 1 + 6 + 1 + 4 + 7 + 641 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 116640000 + 44836416 = 10800^2 + 6696^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 44926 + ... + 48386.

Almost surely, 2161476416 is an apocalyptic number.

161476416 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 161476416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240281841).

161476416 is an abundant number, since it is smaller than the sum of its proper divisors (319087266).

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

161476416 is an frugal number, since it uses more digits than its factorization.

161476416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3491 (or 3466 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 161476416 is about 12707.3370931915. The cubic root of 161476416 is about 544.5482506248.

The spelling of 161476416 in words is "one hundred sixty-one million, four hundred seventy-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2592 2916 3461 3888 5184 5832 6922 7776 10383 11664 13844 15552 20766 23328 27688 31149 41532 46656 55376 62298 83064 93447 110752 124596 166128 186894 221504 249192 280341 332256 373788 498384 560682 664512 747576 841023 996768 1121364 1495152 1682046 1993536 2242728 2523069 2990304 3364092 4485456 5046138 5980608 6728184 8970912 10092276 13456368 17941824 20184552 26912736 40369104 53825472 80738208 161476416