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70144778064 = 2438377322777
BaseRepresentation
bin100000101010011110…
…1000101111101010000
320201001111202221001010
41001110331011331100
52122124030344224
652120222010520
75032152530064
oct1012475057520
9221044687033
1070144778064
1127825997a69
1211717416a40
1367cb43874a
143575d41aa4
151c581ace29
hex1054f45f50

70144778064 has 80 divisors (see below), whose sum is σ = 183635871552. Its totient is φ = 23068990464.

The previous prime is 70144778027. The next prime is 70144778069. The reversal of 70144778064 is 46087744107.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70144778069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3068244 + ... + 3091020.

Almost surely, 270144778064 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 70144778064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91817935776).

70144778064 is an abundant number, since it is smaller than the sum of its proper divisors (113491093488).

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

70144778064 is a wasteful number, since it uses less digits than its factorization.

70144778064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23644 (or 23638 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 48.

The spelling of 70144778064 in words is "seventy billion, one hundred forty-four million, seven hundred seventy-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 332 498 664 773 996 1328 1546 1992 2319 3092 3984 4638 6184 9276 12368 18552 22777 37104 45554 64159 68331 91108 128318 136662 182216 192477 256636 273324 364432 384954 513272 546648 769908 1026544 1093296 1539816 1890491 3079632 3780982 5671473 7561964 11342946 15123928 17606621 22685892 30247856 35213242 45371784 52819863 70426484 90743568 105639726 140852968 211279452 281705936 422558904 845117808 1461349543 2922699086 4384048629 5845398172 8768097258 11690796344 17536194516 23381592688 35072389032 70144778064