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1453640665032 = 23321011071868183
BaseRepresentation
bin10101001001110011101…
…111000100011111001000
312010222002201100220122100
4111021303233010133020
5142304024002240112
63031443204153400
7210010366532403
oct25116357043710
95128081326570
101453640665032
11510538293916
121b5885398860
13a71019c415a
14504dc672d3a
1527c2c44a2dc
hex15273bc47c8

1453640665032 has 96 divisors (see below), whose sum is σ = 4013083414080. Its totient is φ = 475265500800.

The previous prime is 1453640665019. The next prime is 1453640665069. The reversal of 1453640665032 is 2305660463541.

1453640665032 is a `hidden beast` number, since 1 + 4 + 536 + 4 + 0 + 66 + 50 + 3 + 2 = 666.

It is a super-2 number, since 2×14536406650322 (a number of 25 digits) contains 22 as substring.

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, 155988 + ... + 1712195.

It is an arithmetic number, because the mean of its divisors is an integer number (41802952230).

Almost surely, 21453640665032 is an apocalyptic number.

1453640665032 is a gapful number since it is divisible by the number (12) 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 1453640665032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2006541707040).

1453640665032 is an abundant number, since it is smaller than the sum of its proper divisors (2559442749048).

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

1453640665032 is a wasteful number, since it uses less digits than its factorization.

1453640665032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868403 (or 1868396 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 1453640665032 in words is "one trillion, four hundred fifty-three billion, six hundred forty million, six hundred sixty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 107 202 214 303 321 404 428 606 642 808 856 909 963 1212 1284 1818 1926 2424 2568 3636 3852 7272 7704 10807 21614 32421 43228 64842 86456 97263 129684 194526 259368 389052 778104 1868183 3736366 5604549 7472732 11209098 14945464 16813647 22418196 33627294 44836392 67254588 134509176 188686483 199895581 377372966 399791162 566059449 599686743 754745932 799582324 1132118898 1199373486 1509491864 1599164648 1698178347 1799060229 2264237796 2398746972 3396356694 3598120458 4528475592 4797493944 6792713388 7196240916 13585426776 14392481832 20189453681 40378907362 60568361043 80757814724 121136722086 161515629448 181705083129 242273444172 363410166258 484546888344 726820332516 1453640665032