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43454845460 = 225131747209179
BaseRepresentation
bin101000011110000111…
…000101001000010100
311011011102221212111202
4220132013011020110
51202443420023320
631543552052032
73065565043355
oct503607051024
9134142855452
1043454845460
111747a144624
128508b34018
134136a6c110
142163373d2c
1511e4e74b75
hexa1e1c5214

43454845460 has 96 divisors (see below), whose sum is σ = 106270133760. Its totient is φ = 14779680768.

The previous prime is 43454845459. The next prime is 43454845493. The reversal of 43454845460 is 6454845434.

It is a happy number.

It is a super-2 number, since 2×434548454602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103151 + ... + 312329.

It is an arithmetic number, because the mean of its divisors is an integer number (1106980560).

Almost surely, 243454845460 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 43454845460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53135066880).

43454845460 is an abundant number, since it is smaller than the sum of its proper divisors (62815288300).

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

43454845460 is a wasteful number, since it uses less digits than its factorization.

43454845460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209265 (or 209263 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 47.

The spelling of 43454845460 in words is "forty-three billion, four hundred fifty-four million, eight hundred forty-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 17 20 26 34 47 52 65 68 85 94 130 170 188 221 235 260 340 442 470 611 799 884 940 1105 1222 1598 2210 2444 3055 3196 3995 4420 6110 7990 10387 12220 15980 20774 41548 51935 103870 207740 209179 418358 836716 1045895 2091790 2719327 3556043 4183580 5438654 7112086 9831413 10877308 13596635 14224172 17780215 19662826 27193270 35560430 39325652 46228559 49157065 54386540 71120860 92457118 98314130 127808369 167134021 184914236 196628260 231142795 255616738 334268042 462285590 511233476 639041845 668536084 835670105 924571180 1278083690 1671340210 2172742273 2556167380 3342680420 4345484546 8690969092 10863711365 21727422730 43454845460