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454513055260 = 2251131101659843
BaseRepresentation
bin1101001110100110001…
…01101101011000011100
31121110011210111111120111
412213103011231120130
524421320320232020
6544444520055404
744560154140165
oct6472305553034
91543153444514
10454513055260
11165837852690
1274107604564
1333b253a5c64
1417dda03a76c
15bc525a9d5a
hex69d316d61c

454513055260 has 96 divisors (see below), whose sum is σ = 1085480331264. Its totient is φ = 158362080000.

The previous prime is 454513055257. The next prime is 454513055263. The reversal of 454513055260 is 62550315454.

It is an interprime number because it is at equal distance from previous prime (454513055257) and next prime (454513055263).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454513055263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358899 + ... + 1018741.

It is an arithmetic number, because the mean of its divisors is an integer number (11307086784).

Almost surely, 2454513055260 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 454513055260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542740165632).

454513055260 is an abundant number, since it is smaller than the sum of its proper divisors (630967276004).

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

454513055260 is a wasteful number, since it uses less digits than its factorization.

454513055260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659995 (or 659993 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 40.

The spelling of 454513055260 in words is "four hundred fifty-four billion, five hundred thirteen million, fifty-five thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 101 110 124 155 202 220 310 341 404 505 620 682 1010 1111 1364 1705 2020 2222 3131 3410 4444 5555 6262 6820 11110 12524 15655 22220 31310 34441 62620 68882 137764 172205 344410 659843 688820 1319686 2639372 3299215 6598430 7258273 13196860 14516546 20455133 29033092 36291365 40910266 66644143 72582730 81820532 102275665 133288286 145165460 204551330 225006463 266576572 333220715 409102660 450012926 666441430 733085573 900025852 1125032315 1332882860 1466171146 2065968433 2250064630 2932342292 3665427865 4131936866 4500129260 7330855730 8263873732 10329842165 14661711460 20659684330 22725652763 41319368660 45451305526 90902611052 113628263815 227256527630 454513055260