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2275037320528 = 247210399128429
BaseRepresentation
bin100001000110110010110…
…010101001010101010000
322001111021021002101001001
4201012302302221111100
5244233234023224103
64501045425151344
7323236355104300
oct41066262512520
98044237071031
102275037320528
117a7924291575
12308b0148b554
131366c57c580b
147c1805a1600
153e2a3ddc01d
hex211b2ca9550

2275037320528 has 120 divisors (see below), whose sum is σ = 5182728046080. Its totient is φ = 964541571840.

The previous prime is 2275037320499. The next prime is 2275037320559. The reversal of 2275037320528 is 8250237305722.

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 23 ways as a sum of consecutive naturals, for example, 80011018 + ... + 80039446.

It is an arithmetic number, because the mean of its divisors is an integer number (43189400384).

Almost surely, 22275037320528 is an apocalyptic number.

2275037320528 is a gapful number since it is divisible by the number (28) 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 2275037320528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2591364023040).

2275037320528 is an abundant number, since it is smaller than the sum of its proper divisors (2907690725552).

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

2275037320528 is a wasteful number, since it uses less digits than its factorization.

2275037320528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29545 (or 29532 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 46.

The spelling of 2275037320528 in words is "two trillion, two hundred seventy-five billion, thirty-seven million, three hundred twenty thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 103 112 196 206 392 412 721 784 824 991 1442 1648 1982 2884 3964 5047 5768 6937 7928 10094 11536 13874 15856 20188 27748 28429 40376 48559 55496 56858 80752 97118 102073 110992 113716 194236 199003 204146 227432 388472 398006 408292 454864 714511 776944 796012 816584 1393021 1429022 1592024 1633168 2786042 2858044 2928187 3184048 5001577 5572084 5716088 5856374 10003154 11144168 11432176 11712748 20006308 20497309 22288336 23425496 28173139 40012616 40994618 46850992 56346278 80025232 81989236 112692556 143481163 163978472 197211973 225385112 286962326 327956944 394423946 450770224 573924652 788847892 1147849304 1380483811 1577695784 2295698608 2760967622 2901833317 3155391568 5521935244 5803666634 11043870488 11607333268 20312833219 22087740976 23214666536 40625666438 46429333072 81251332876 142189832533 162502665752 284379665066 325005331504 568759330132 1137518660264 2275037320528