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5634001040 = 245431739467
BaseRepresentation
bin1010011111101000…
…00000100010010000
3112112122100220111012
411033310000202100
543014301013130
62331020110052
7256421135003
oct51764004220
915478326435
105634001040
112431279408
121112995328
136ba300635
143b637953a
1522e93d995
hex14fd00890

5634001040 has 80 divisors (see below), whose sum is σ = 13482583488. Its totient is φ = 2188236288.

The previous prime is 5634001033. The next prime is 5634001057. The reversal of 5634001040 is 401004365.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 5634000997 and 5634001015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 590387 + ... + 599853.

Almost surely, 25634001040 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 5634001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6741291744).

5634001040 is an abundant number, since it is smaller than the sum of its proper divisors (7848582448).

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

5634001040 is a wasteful number, since it uses less digits than its factorization.

5634001040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9696 (or 9690 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 5634001040 is about 75059.9829469738. The cubic root of 5634001040 is about 1779.3947611944.

The spelling of 5634001040 in words is "five billion, six hundred thirty-four million, one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 173 215 344 346 430 688 692 860 865 1384 1720 1730 2768 3440 3460 6920 7439 9467 13840 14878 18934 29756 37195 37868 47335 59512 74390 75736 94670 119024 148780 151472 189340 297560 378680 407081 595120 757360 814162 1628324 1637791 2035405 3256648 3275582 4070810 6513296 6551164 8141620 8188955 13102328 16283240 16377910 26204656 32566480 32755820 65511640 70425013 131023280 140850026 281700052 352125065 563400104 704250130 1126800208 1408500260 2817000520 5634001040