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3573412790272 = 23813
BaseRepresentation
bin110100000000000000000…
…000000000000000000000
3110122121121021121010200221
4310000000000000000000
5432021322133242042
611333334141352424
7516112333361113
oct64000000000000
913577537533627
103573412790272
1111585263a8076
12498674868714
131cbc82178a40
14c4d500ac57a
1562e453b9d67
hex34000000000

3573412790272 has 78 divisors (see below), whose sum is σ = 7696581394418. Its totient is φ = 1649267441664.

The previous prime is 3573412790267. The next prime is 3573412790287. The reversal of 3573412790272 is 2720972143753.

It can be written as a sum of positive squares in only one way, i.e., 2473901162496 + 1099511627776 = 1572864^2 + 1048576^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a nialpdrome in base 4 and base 8.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 274877906938 + ... + 274877906950.

Almost surely, 23573412790272 is an apocalyptic number.

3573412790272 is a gapful number since it is divisible by the number (32) 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 3573412790272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3848290697209).

3573412790272 is an abundant number, since it is smaller than the sum of its proper divisors (4123168604146).

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

3573412790272 is an frugal number, since it uses more digits than its factorization.

3573412790272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 15 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 52.

Multiplying 3573412790272 by its sum of digits (52), we get a square (185817465094144 = 136314882).

3573412790272 divided by its sum of digits (52) gives a 36-th power (68719476736 = 236).

The spelling of 3573412790272 in words is "three trillion, five hundred seventy-three billion, four hundred twelve million, seven hundred ninety thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 2048 3328 4096 6656 8192 13312 16384 26624 32768 53248 65536 106496 131072 212992 262144 425984 524288 851968 1048576 1703936 2097152 3407872 4194304 6815744 8388608 13631488 16777216 27262976 33554432 54525952 67108864 109051904 134217728 218103808 268435456 436207616 536870912 872415232 1073741824 1744830464 2147483648 3489660928 4294967296 6979321856 8589934592 13958643712 17179869184 27917287424 34359738368 55834574848 68719476736 111669149696 137438953472 223338299392 274877906944 446676598784 893353197568 1786706395136 3573412790272