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66188295168 = 210323819049
BaseRepresentation
bin111101101001001000…
…010011110000000000
320022211202221202211120
4331221020103300000
52041023200421133
650223444512240
74532131140402
oct755110236000
9208752852746
1066188295168
1126085626896
12109b23ab680
13631a8426c8
1432bc6b8b72
151ac5b81ab3
hexf69213c00

66188295168 has 88 divisors (see below), whose sum is σ = 176509534800. Its totient is φ = 22051061760.

The previous prime is 66188295163. The next prime is 66188295181. The reversal of 66188295168 is 86159288166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66188295161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7309908 + ... + 7318956.

Almost surely, 266188295168 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 66188295168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88254767400).

66188295168 is an abundant number, since it is smaller than the sum of its proper divisors (110321239632).

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

66188295168 is a wasteful number, since it uses less digits than its factorization.

66188295168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11453 (or 11435 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 60.

The spelling of 66188295168 in words is "sixty-six billion, one hundred eighty-eight million, two hundred ninety-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2381 3072 4762 7143 9049 9524 14286 18098 19048 27147 28572 36196 38096 54294 57144 72392 76192 108588 114288 144784 152384 217176 228576 289568 304768 434352 457152 579136 609536 868704 914304 1158272 1219072 1737408 1828608 2316544 2438144 3474816 3657216 4633088 6949632 7314432 9266176 13899264 21545669 27798528 43091338 64637007 86182676 129274014 172365352 258548028 344730704 517096056 689461408 1034192112 1378922816 2068384224 2757845632 4136768448 5515691264 8273536896 11031382528 16547073792 22062765056 33094147584 66188295168