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2775342464 = 27194326539
BaseRepresentation
bin1010010101101100…
…0101110110000000
321011102022000010122
42211123011312000
521140441424324
61135221115412
7125530010306
oct24533056600
97142260118
102775342464
1111a4676964
12655558b68
13352ca5b9b
141c4846276
151139b8a5e
hexa56c5d80

2775342464 has 64 divisors (see below), whose sum is σ = 5955576000. Its totient is φ = 1284014592.

The previous prime is 2775342431. The next prime is 2775342467. The reversal of 2775342464 is 4642435772.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2775342467) 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, 91307 + ... + 117845.

It is an arithmetic number, because the mean of its divisors is an integer number (93055875).

Almost surely, 22775342464 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 2775342464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2977788000).

2775342464 is an abundant number, since it is smaller than the sum of its proper divisors (3180233536).

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

2775342464 is a wasteful number, since it uses less digits than its factorization.

2775342464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26615 (or 26603 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 44.

The square root of 2775342464 is about 52681.5191884213. The cubic root of 2775342464 is about 1405.3101840871.

The spelling of 2775342464 in words is "two billion, seven hundred seventy-five million, three hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 43 64 76 86 128 152 172 304 344 608 688 817 1216 1376 1634 2432 2752 3268 5504 6536 13072 26144 26539 52288 53078 104576 106156 212312 424624 504241 849248 1008482 1141177 1698496 2016964 2282354 3396992 4033928 4564708 8067856 9129416 16135712 18258832 21682363 32271424 36517664 43364726 64542848 73035328 86729452 146070656 173458904 346917808 693835616 1387671232 2775342464