Search a number
-
+
72801154496 = 2671523106699
BaseRepresentation
bin100001111001101001…
…0010111010111000000
320221220122012211110102
41003303102113113000
52143044043420441
653235553221532
75155036413560
oct1036322272700
9227818184412
1072801154496
1128969398994
1212138b618a8
136b3288a215
143748a5ada0
151d614c769b
hex10f34975c0

72801154496 has 56 divisors (see below), whose sum is σ = 165212572800. Its totient is φ = 31179716352.

The previous prime is 72801154423. The next prime is 72801154511. The reversal of 72801154496 is 69445110827.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×728011544962 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72801154496.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 628955 + ... + 735653.

Almost surely, 272801154496 is an apocalyptic number.

It is an amenable number.

72801154496 is an abundant number, since it is smaller than the sum of its proper divisors (92411418304).

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

72801154496 is a wasteful number, since it uses less digits than its factorization.

72801154496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108241 (or 108231 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 47.

The spelling of 72801154496 in words is "seventy-two billion, eight hundred one million, one hundred fifty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 1523 3046 6092 10661 12184 21322 24368 42644 48736 85288 97472 106699 170576 213398 341152 426796 682304 746893 853592 1493786 1707184 2987572 3414368 5975144 6828736 11950288 23900576 47801152 162502577 325005154 650010308 1137518039 1300020616 2275036078 2600041232 4550072156 5200082464 9100144312 10400164928 18200288624 36400577248 72801154496