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55005110064 = 2432677972167
BaseRepresentation
bin110011001110100011…
…110101111100110000
312020222101211002212200
4303032203311330300
51400122302010224
641134034223200
73655035502242
oct631643657460
9166871732780
1055005110064
1121366a50353
12a7b1124b00
13525799a508
14293b362092
15166deaa5c9
hexcce8f5f30

55005110064 has 120 divisors (see below), whose sum is σ = 158215349760. Its totient is φ = 17832507264.

The previous prime is 55005110051. The next prime is 55005110071. The reversal of 55005110064 is 46001150055.

It is a happy number.

55005110064 is a `hidden beast` number, since 5 + 500 + 51 + 100 + 6 + 4 = 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, 726109 + ... + 798275.

It is an arithmetic number, because the mean of its divisors is an integer number (1318461248).

Almost surely, 255005110064 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 55005110064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79107674880).

55005110064 is an abundant number, since it is smaller than the sum of its proper divisors (103210239696).

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

55005110064 is a wasteful number, since it uses less digits than its factorization.

55005110064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72327 (or 72318 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 55005110064 in words is "fifty-five billion, five million, one hundred ten thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 79 134 144 158 201 237 268 316 402 474 536 603 632 711 804 948 1072 1206 1264 1422 1608 1896 2412 2844 3216 3792 4824 5293 5688 9648 10586 11376 15879 21172 31758 42344 47637 63516 72167 84688 95274 127032 144334 190548 216501 254064 288668 381096 433002 577336 649503 762192 866004 1154672 1299006 1732008 2598012 3464016 4835189 5196024 5701193 9670378 10392048 11402386 14505567 17103579 19340756 22804772 29011134 34207158 38681512 43516701 45609544 51310737 58022268 68414316 77363024 87033402 91219088 102621474 116044536 136828632 174066804 205242948 232089072 273657264 348133608 381979931 410485896 696267216 763959862 820971792 1145939793 1527919724 2291879586 3055839448 3437819379 4583759172 6111678896 6875638758 9167518344 13751277516 18335036688 27502555032 55005110064