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5426765064 = 2332737328867
BaseRepresentation
bin1010000110111010…
…11101110100001000
3112000012102020011200
411003131131310020
542103222440224
62254254224200
7251323512330
oct50335356410
915005366150
105426765064
1123352a3a06
1210754b5060
136863b18b6
14396a320c0
1521b6555c9
hex14375dd08

5426765064 has 96 divisors (see below), whose sum is σ = 16842745920. Its totient is φ = 1546293888.

The previous prime is 5426764979. The next prime is 5426765083. The reversal of 5426765064 is 4605676245.

5426765064 is a `hidden beast` number, since 54 + 26 + 76 + 506 + 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, 173559 + ... + 202425.

It is an arithmetic number, because the mean of its divisors is an integer number (175445270).

Almost surely, 25426765064 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 5426765064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8421372960).

5426765064 is an abundant number, since it is smaller than the sum of its proper divisors (11415980856).

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

5426765064 is a wasteful number, since it uses less digits than its factorization.

5426765064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29259 (or 29252 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The square root of 5426765064 is about 73666.5803740068. The cubic root of 5426765064 is about 1757.3044420340.

The spelling of 5426765064 in words is "five billion, four hundred twenty-six million, seven hundred sixty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 373 504 746 1119 1492 2238 2611 2984 3357 4476 5222 6714 7833 8952 10444 13428 15666 20888 23499 26856 28867 31332 46998 57734 62664 86601 93996 115468 173202 187992 202069 230936 259803 346404 404138 519606 606207 692808 808276 1039212 1212414 1616552 1818621 2078424 2424828 3637242 4849656 7274484 10767391 14548968 21534782 32302173 43069564 64604346 75371737 86139128 96906519 129208692 150743474 193813038 226115211 258417384 301486948 387626076 452230422 602973896 678345633 775252152 904460844 1356691266 1808921688 2713382532 5426765064