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2047960064 = 21037191283
BaseRepresentation
bin111101000010001…
…0110010000000000
312021201121011001202
41322010112100000
513143234210224
6535114520332
7101515242023
oct17204262000
95251534052
102047960064
11961024787
12491a360a8
1326839a0b7
14155dc11ba
15bebd7eae
hex7a116400

2047960064 has 88 divisors (see below), whose sum is σ = 4241515008. Its totient is φ = 987586560.

The previous prime is 2047960051. The next prime is 2047960067. The reversal of 2047960064 is 4600697402.

It is not an unprimeable number, because it can be changed into a prime (2047960067) 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, 7236467 + ... + 7236749.

Almost surely, 22047960064 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 2047960064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2120757504).

2047960064 is an abundant number, since it is smaller than the sum of its proper divisors (2193554944).

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

2047960064 is a wasteful number, since it uses less digits than its factorization.

2047960064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 2047960064 is about 45254.3927591565. The cubic root of 2047960064 is about 1269.9125870354.

The spelling of 2047960064 in words is "two billion, forty-seven million, nine hundred sixty thousand, sixty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 191 256 283 296 382 512 566 592 764 1024 1132 1184 1528 2264 2368 3056 4528 4736 6112 7067 9056 9472 10471 12224 14134 18112 18944 20942 24448 28268 36224 37888 41884 48896 54053 56536 72448 83768 97792 108106 113072 144896 167536 195584 216212 226144 289792 335072 432424 452288 670144 864848 904576 1340288 1729696 1809152 1999961 2680576 3459392 3618304 3999922 5361152 6918784 7236608 7999844 10722304 13837568 15999688 27675136 31999376 55350272 63998752 127997504 255995008 511990016 1023980032 2047960064