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44600380816 = 2419236479859
BaseRepresentation
bin101001100010011000…
…111100110110010000
311021010021111002121011
4221202120330312100
51212320144141231
632253352540304
73136144660525
oct514230746620
9137107432534
1044600380816
1117a07830262
1287886b1694
13428a1a3ca4
14223156714c
1512608029b1
hexa6263cd90

44600380816 has 80 divisors (see below), whose sum is σ = 95072486400. Its totient is φ = 20174673024.

The previous prime is 44600380801. The next prime is 44600380841. The reversal of 44600380816 is 61808300644.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4518895 + ... + 4528753.

It is an arithmetic number, because the mean of its divisors is an integer number (1188406080).

Almost surely, 244600380816 is an apocalyptic number.

44600380816 is a gapful number since it is divisible by the number (46) 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 44600380816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47536243200).

44600380816 is an abundant number, since it is smaller than the sum of its proper divisors (50472105584).

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

44600380816 is a wasteful number, since it uses less digits than its factorization.

44600380816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10556 (or 10550 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 44600380816 in words is "forty-four billion, six hundred million, three hundred eighty thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 19 23 38 46 76 92 152 184 304 368 437 647 874 1294 1748 2588 3496 5176 6992 9859 10352 12293 14881 19718 24586 29762 39436 49172 59524 78872 98344 119048 157744 187321 196688 226757 238096 282739 374642 453514 565478 749284 907028 1130956 1498568 1814056 2261912 2997136 3628112 4308383 4523824 6378773 8616766 12757546 17233532 25515092 34467064 51030184 68934128 102060368 121196687 146711779 242393374 293423558 484786748 586847116 969573496 1173694232 1939146992 2347388464 2787523801 5575047602 11150095204 22300190408 44600380816