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948664312036 = 227229223992
BaseRepresentation
bin11011100111000001100…
…11001010000011100100
310100200200001021021102121
431303200303022003210
5111020331030441121
62003451012315324
7125352533414200
oct15634063120344
93320601237377
10948664312036
113363652aa7a1
12133a35912b44
136b5c68a6c0c
1433cb6585b00
1519a249d2141
hexdce0cca0e4

948664312036 has 81 divisors (see below), whose sum is σ = 2000933317929. Its totient is φ = 392387118816.

The previous prime is 948664312021. The next prime is 948664312049. The reversal of 948664312036 is 630213466849.

The square root of 948664312036 is 973994.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 497456553636 + 451207758400 = 705306^2 + 671720^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 395440365 + ... + 395442763.

Almost surely, 2948664312036 is an apocalyptic number.

948664312036 is the 973994-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 948664312036

948664312036 is an abundant number, since it is smaller than the sum of its proper divisors (1052269005893).

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

948664312036 is an equidigital number, since it uses as much as digits as its factorization.

948664312036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4874 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 52.

The spelling of 948664312036 in words is "nine hundred forty-eight billion, six hundred sixty-four million, three hundred twelve thousand, thirty-six".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 406 812 841 1421 1682 2399 2842 3364 4798 5684 5887 9596 11774 16793 23548 33586 41209 67172 69571 82418 117551 139142 164836 235102 278284 470204 486997 973994 1947988 2017559 3408979 4035118 5755201 6817958 8070236 11510402 13635916 14122913 23020804 28245826 40286407 56491652 80572814 98860391 161145628 166900829 197720782 282004849 333801658 395441564 564009698 667603316 1128019396 1168305803 2336611606 4673223212 4840124041 8178140621 9680248082 16356281242 19360496164 32712562484 33880868287 67761736574 135523473148 237166078009 474332156018 948664312036