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10252054545152 = 28719780935897
BaseRepresentation
bin1001010100101111111000…
…0100011100001100000000
31100022002100022022211001112
42111023332010130030000
52320432201430421102
633445421232422452
72105454316543520
oct225137604341400
940262308284045
1010252054545152
1132a296557a472
121196b003a7a28
135949c2a7b8b4
142762b8757680
1512ba2d2e6252
hex952fe11c300

10252054545152 has 144 divisors (see below), whose sum is σ = 23535929229120. Its totient is φ = 4365909295104.

The previous prime is 10252054545091. The next prime is 10252054545179. The reversal of 10252054545152 is 25154545025201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285578468 + ... + 285614364.

It is an arithmetic number, because the mean of its divisors is an integer number (163443952980).

Almost surely, 210252054545152 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 10252054545152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11767964614560).

10252054545152 is an abundant number, since it is smaller than the sum of its proper divisors (13283874683968).

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

10252054545152 is an equidigital number, since it uses as much as digits as its factorization.

10252054545152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36926 (or 36912 counting only the distinct ones).

The product of its (nonzero) digits is 400000, while the sum is 41.

The spelling of 10252054545152 in words is "ten trillion, two hundred fifty-two billion, fifty-four million, five hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 197 224 256 394 448 788 809 896 1379 1576 1618 1792 2758 3152 3236 5516 5663 6304 6472 11032 11326 12608 12944 22064 22652 25216 25888 35897 44128 45304 50432 51776 71794 88256 90608 103552 143588 159373 176512 181216 207104 251279 287176 318746 353024 362432 502558 574352 637492 724864 1005116 1115611 1148704 1274984 1449728 2010232 2231222 2297408 2549968 4020464 4462444 4594816 5099936 7071709 8040928 8924888 9189632 10199872 14143418 16081856 17849776 20399744 28286836 29040673 32163712 35699552 40799488 49501963 56573672 58081346 64327424 71399104 99003926 113147344 116162692 142798208 198007852 203284711 226294688 232325384 285596416 396015704 406569422 452589376 464650768 792031408 813138844 905178752 929301536 1584062816 1626277688 1810357504 1858603072 3168125632 3252555376 3717206144 5721012581 6336251264 6505110752 7434412288 11442025162 12672502528 13010221504 22884050324 26020443008 40047088067 45768100648 52040886016 80094176134 91536201296 160188352268 183072402592 320376704536 366144805184 640753409072 732289610368 1281506818144 1464579220736 2563013636288 5126027272576 10252054545152