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64072810384 = 24111074797103
BaseRepresentation
bin111011101011000010…
…010111111110010000
320010101100022000021021
4323223002113332100
52022210114413014
645233514405224
74425532621312
oct735302277620
9203340260237
1064072810384
112519a481860
1210501a30814
13607149266b
14315b75b7b2
151a000ab624
hexeeb097f90

64072810384 has 80 divisors (see below), whose sum is σ = 136996945920. Its totient is φ = 28787530880.

The previous prime is 64072810367. The next prime is 64072810391. The reversal of 64072810384 is 48301827046.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 64072810384.

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, 9016977 + ... + 9024079.

It is an arithmetic number, because the mean of its divisors is an integer number (1712461824).

Almost surely, 264072810384 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 64072810384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68498472960).

64072810384 is an abundant number, since it is smaller than the sum of its proper divisors (72924135536).

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

64072810384 is a wasteful number, since it uses less digits than its factorization.

64072810384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7708 (or 7702 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The spelling of 64072810384 in words is "sixty-four billion, seventy-two million, eight hundred ten thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 44 88 107 176 214 428 479 856 958 1177 1712 1916 2354 3832 4708 5269 7103 7664 9416 10538 14206 18832 21076 28412 42152 51253 56824 78133 84304 102506 113648 156266 205012 312532 410024 563783 625064 760021 820048 1127566 1250128 1520042 2255132 3040084 3402337 4510264 6080168 6804674 8360231 9020528 12160336 13609348 16720462 27218696 33440924 37425707 54437392 66881848 74851414 133763696 149702828 299405656 364050059 598811312 728100118 1456200236 2912400472 4004550649 5824800944 8009101298 16018202596 32036405192 64072810384