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9914716416 = 283111173617
BaseRepresentation
bin10010011101111011…
…01001000100000000
3221120222021210001010
421032331221010000
5130301131411131
64315454440520
7500460461523
oct111675510400
927528253033
109914716416
114228665210
121b08503140
13c2012a207
146a0ac2bba
153d0663b46
hex24ef69100

9914716416 has 72 divisors (see below), whose sum is σ = 28786502304. Its totient is φ = 3004456960.

The previous prime is 9914716367. The next prime is 9914716447. The reversal of 9914716416 is 6146174199.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 578361 + ... + 595256.

It is an arithmetic number, because the mean of its divisors is an integer number (399812532).

Almost surely, 29914716416 is an apocalyptic number.

9914716416 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

9914716416 is an abundant number, since it is smaller than the sum of its proper divisors (18871785888).

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

9914716416 is a wasteful number, since it uses less digits than its factorization.

9914716416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173647 (or 1173633 counting only the distinct ones).

The product of its digits is 326592, while the sum is 48.

The square root of 9914716416 is about 99572.6690211727. The cubic root of 9914716416 is about 2148.2925990858.

The spelling of 9914716416 in words is "nine billion, nine hundred fourteen million, seven hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 1173617 2347234 3520851 4694468 7041702 9388936 12909787 14083404 18777872 25819574 28166808 37555744 38729361 51639148 56333616 75111488 77458722 103278296 112667232 150222976 154917444 206556592 225334464 300445952 309834888 413113184 450668928 619669776 826226368 901337856 1239339552 1652452736 2478679104 3304905472 4957358208 9914716416