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94042628576 = 25131764320681
BaseRepresentation
bin101011110010101100…
…0001010000111100000
322222201222210111222122
41113211120022013200
53020044403103301
6111111431523412
76536315103461
oct1274530120740
9288658714878
1094042628576
1136979680846
1216286829568
138b3951aab0
1447a1b8ad68
1526a622281b
hex15e560a1e0

94042628576 has 96 divisors (see below), whose sum is σ = 211455746208. Its totient is φ = 40785592320.

The previous prime is 94042628573. The next prime is 94042628579. The reversal of 94042628576 is 67582624049.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (94042628573) and next prime (94042628579).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94042628573) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4536956 + ... + 4557636.

It is an arithmetic number, because the mean of its divisors is an integer number (2202664023).

Almost surely, 294042628576 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 94042628576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105727873104).

94042628576 is an abundant number, since it is smaller than the sum of its proper divisors (117413117632).

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

94042628576 is a wasteful number, since it uses less digits than its factorization.

94042628576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21364 (or 21356 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 53.

The spelling of 94042628576 in words is "ninety-four billion, forty-two million, six hundred twenty-eight thousand, five hundred seventy-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 643 884 1286 1768 2572 3536 5144 7072 8359 10288 10931 16718 20576 20681 21862 33436 41362 43724 66872 82724 87448 133744 142103 165448 174896 267488 268853 284206 330896 349792 351577 537706 568412 661792 703154 1075412 1136824 1406308 2150824 2273648 2812616 4301648 4547296 4570501 5625232 8603296 9141002 11250464 13297883 18282004 26595766 36564008 53191532 73128016 106383064 146256032 172872479 212766128 226064011 345744958 425532256 452128022 691489916 904256044 1382979832 1808512088 2765959664 2938832143 3617024176 5531919328 5877664286 7234048352 11755328572 23510657144 47021314288 94042628576