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661867272 = 2332116712473
BaseRepresentation
bin100111011100110…
…100101100001000
31201010102100012200
4213130310230020
52323414223042
6145402040200
722254531123
oct4734645410
91633370180
10661867272
1130a674750
121657a9060
13a717a751
1463c8d3ba
153d18dc4c
hex27734b08

661867272 has 96 divisors (see below), whose sum is σ = 1984862880. Its totient is φ = 197556480.

The previous prime is 661867253. The next prime is 661867303. The reversal of 661867272 is 272768166.

661867272 is a `hidden beast` number, since 6 + 618 + 6 + 7 + 27 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46828 + ... + 59300.

It is an arithmetic number, because the mean of its divisors is an integer number (20675655).

Almost surely, 2661867272 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 661867272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992431440).

661867272 is an abundant number, since it is smaller than the sum of its proper divisors (1322995608).

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

661867272 is a wasteful number, since it uses less digits than its factorization.

661867272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12563 (or 12556 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 661867272 is about 25726.7812211322. The cubic root of 661867272 is about 871.4790852534.

The spelling of 661867272 in words is "six hundred sixty-one million, eight hundred sixty-seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 67 72 88 99 132 134 198 201 264 268 396 402 536 603 737 792 804 1206 1474 1608 2211 2412 2948 4422 4824 5896 6633 8844 12473 13266 17688 24946 26532 37419 49892 53064 74838 99784 112257 137203 149676 224514 274406 299352 411609 449028 548812 823218 835691 898056 1097624 1234827 1646436 1671382 2469654 2507073 3292872 3342764 4939308 5014146 6685528 7521219 9192601 9878616 10028292 15042438 18385202 20056584 27577803 30084876 36770404 55155606 60169752 73540808 82733409 110311212 165466818 220622424 330933636 661867272