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2991186016 = 257135319381
BaseRepresentation
bin1011001001001001…
…1110000001100000
321201110102222211021
42302102132001200
522111220423031
61212451255224
7134060442640
oct26222360140
97643388737
102991186016
1112a54a0365
126b58aa514
13388919770
14205390520
15127902511
hexb249e060

2991186016 has 96 divisors (see below), whose sum is σ = 7385007168. Its totient is φ = 1160939520.

The previous prime is 2991185983. The next prime is 2991186019. The reversal of 2991186016 is 6106811992.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (2991186019) 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, 144646 + ... + 164026.

It is an arithmetic number, because the mean of its divisors is an integer number (76927158).

Almost surely, 22991186016 is an apocalyptic number.

2991186016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2991186016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3692503584).

2991186016 is an abundant number, since it is smaller than the sum of its proper divisors (4393821152).

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

2991186016 is a wasteful number, since it uses less digits than its factorization.

2991186016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19464 (or 19456 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 43.

The square root of 2991186016 is about 54691.7362679226. The cubic root of 2991186016 is about 1440.8357442825.

The spelling of 2991186016 in words is "two billion, nine hundred ninety-one million, one hundred eighty-six thousand, sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 53 56 91 104 106 112 182 208 212 224 364 371 416 424 689 728 742 848 1378 1456 1484 1696 2756 2912 2968 4823 5512 5936 9646 11024 11872 19292 19381 22048 38584 38762 77168 77524 135667 154336 155048 251953 271334 310096 503906 542668 620192 1007812 1027193 1085336 1763671 2015624 2054386 2170672 3527342 4031248 4108772 4341344 7054684 7190351 8062496 8217544 13353509 14109368 14380702 16435088 26707018 28218736 28761404 32870176 53414036 56437472 57522808 93474563 106828072 115045616 186949126 213656144 230091232 373898252 427312288 747796504 1495593008 2991186016