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44627054080 = 295719131071
BaseRepresentation
bin101001100011111110…
…101100111000000000
311021012010200020102211
4221203332230320000
51212344011212310
632300144351504
73136620462250
oct514376547000
9137163606384
1044627054080
1117a20899284
128795615594
13429288299b
142234d0b960
151262d20c8a
hexa63face00

44627054080 has 160 divisors (see below), whose sum is σ = 128723189760. Its totient is φ = 14495293440.

The previous prime is 44627054063. The next prime is 44627054107. The reversal of 44627054080 is 8045072644.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274945 + ... + 406015.

It is an arithmetic number, because the mean of its divisors is an integer number (804519936).

Almost surely, 244627054080 is an apocalyptic number.

44627054080 is a gapful number since it is divisible by the number (40) 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 44627054080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64361594880).

44627054080 is an abundant number, since it is smaller than the sum of its proper divisors (84096135680).

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

44627054080 is a wasteful number, since it uses less digits than its factorization.

44627054080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131120 (or 131104 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The spelling of 44627054080 in words is "forty-four billion, six hundred twenty-seven million, fifty-four thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 64 70 76 80 95 112 128 133 140 152 160 190 224 256 266 280 304 320 380 448 512 532 560 608 640 665 760 896 1064 1120 1216 1280 1330 1520 1792 2128 2240 2432 2560 2660 3040 3584 4256 4480 4864 5320 6080 8512 8960 9728 10640 12160 17024 17920 21280 24320 34048 42560 48640 68096 85120 131071 170240 262142 340480 524284 655355 917497 1048568 1310710 1834994 2097136 2490349 2621420 3669988 4194272 4587485 4980698 5242840 7339976 8388544 9174970 9961396 10485680 12451745 14679952 16777088 17432443 18349940 19922792 20971360 24903490 29359904 33554176 34864886 36699880 39845584 41942720 49806980 58719808 67108352 69729772 73399760 79691168 83885440 87162215 99613960 117439616 139459544 146799520 159382336 167770880 174324430 199227920 234879232 278919088 293599040 318764672 335541760 348648860 398455840 469758464 557838176 587198080 637529344 697297720 796911680 1115676352 1174396160 1275058688 1394595440 1593823360 2231352704 2348792320 2789190880 3187646720 4462705408 5578381760 6375293440 8925410816 11156763520 22313527040 44627054080