Search a number
-
+
45867798912 = 2731319734657
BaseRepresentation
bin101010101101111011…
…110001000110000000
311101101121100121101010
4222231323301012000
51222414124031122
633023230040520
73212434600155
oct525573610600
9141347317333
1045867798912
11184a81a4231
128a81049140
13442c941a20
142311a0622c
1512d6c08e0c
hexaadef1180

45867798912 has 128 divisors (see below), whose sum is σ = 131303057760. Its totient is φ = 14102986752.

The previous prime is 45867798887. The next prime is 45867798913. The reversal of 45867798912 is 21989776854.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45867798913) 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, 9846888 + ... + 9851544.

Almost surely, 245867798912 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 45867798912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65651528880).

45867798912 is an abundant number, since it is smaller than the sum of its proper divisors (85435258848).

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

45867798912 is a wasteful number, since it uses less digits than its factorization.

45867798912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6660 (or 6648 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 66.

The spelling of 45867798912 in words is "forty-five billion, eight hundred sixty-seven million, seven hundred ninety-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 1973 2496 3946 4657 4992 5919 7892 9314 11838 13971 15784 18628 23676 25649 27942 31568 37256 47352 51298 55884 60541 63136 74512 76947 94704 102596 111768 121082 126272 149024 153894 181623 189408 205192 223536 242164 252544 298048 307788 363246 378816 410384 447072 484328 596096 615576 726492 757632 820768 894144 968656 1231152 1452984 1641536 1788288 1937312 2462304 2905968 3283072 3874624 4924608 5811936 7749248 9188261 9849216 11623872 18376522 23247744 27564783 36753044 55129566 73506088 110259132 119447393 147012176 220518264 238894786 294024352 358342179 441036528 477789572 588048704 716684358 882073056 955579144 1176097408 1433368716 1764146112 1911158288 2866737432 3528292224 3822316576 5733474864 7644633152 11466949728 15289266304 22933899456 45867798912