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66161556 = 22331514057
BaseRepresentation
bin1111110001100…
…0101110010100
311121111100121000
43330120232110
5113414132211
610322023300
71432235556
oct374305624
9147440530
1066161556
113438a17a
121a1a7b30
1310926666
148b034d6
155c1d656
hex3f18b94

66161556 has 48 divisors (see below), whose sum is σ = 172708480. Its totient is φ = 21902400.

The previous prime is 66161551. The next prime is 66161561. The reversal of 66161556 is 65516166.

It is an interprime number because it is at equal distance from previous prime (66161551) and next prime (66161561).

It is a super-2 number, since 2×661615562 = 8754702984682272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 66161556.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66161551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14280 + ... + 18336.

Almost surely, 266161556 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 66161556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86354240).

66161556 is an abundant number, since it is smaller than the sum of its proper divisors (106546924).

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

66161556 is a wasteful number, since it uses less digits than its factorization.

66161556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4221 (or 4213 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 66161556 is about 8133.9754118143. The cubic root of 66161556 is about 404.4534740724.

The spelling of 66161556 in words is "sixty-six million, one hundred sixty-one thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 151 302 453 604 906 1359 1812 2718 4057 4077 5436 8114 8154 12171 16228 16308 24342 36513 48684 73026 109539 146052 219078 438156 612607 1225214 1837821 2450428 3675642 5513463 7351284 11026926 16540389 22053852 33080778 66161556