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53146152164 = 2272325367699
BaseRepresentation
bin110001011111110000…
…011110110011100100
312002011211212021001002
4301133300132303210
51332320403332124
640225350252432
73561003561020
oct613760366344
9162154767032
1053146152164
11205a2687806
12a372657118
13501c806921
1428024dd380
1515b0ba80ae
hexc5fc1ece4

53146152164 has 72 divisors (see below), whose sum is σ = 113212814400. Its totient is φ = 21375237312.

The previous prime is 53146152151. The next prime is 53146152181. The reversal of 53146152164 is 46125164135.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 751187 + ... + 818885.

It is an arithmetic number, because the mean of its divisors is an integer number (1572400200).

Almost surely, 253146152164 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 53146152164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56606407200).

53146152164 is an abundant number, since it is smaller than the sum of its proper divisors (60066662236).

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

53146152164 is a wasteful number, since it uses less digits than its factorization.

53146152164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67809 (or 67784 counting only the distinct ones).

The product of its digits is 86400, while the sum is 38.

The spelling of 53146152164 in words is "fifty-three billion, one hundred forty-six million, one hundred fifty-two thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 23 28 46 53 92 106 161 212 322 371 529 644 742 1058 1219 1484 2116 2438 3703 4876 7406 8533 14812 17066 28037 34132 56074 67699 112148 135398 196259 270796 392518 473893 785036 947786 1557077 1895572 3114154 3588047 6228308 7176094 10899539 14352188 21799078 25116329 35812771 43598156 50232658 71625542 82525081 100465316 143251084 165050162 250689397 330100324 501378794 577675567 1002757588 1155351134 1898076863 2310702268 3796153726 7592307452 13286538041 26573076082 53146152164