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44621001984 = 2831319012351
BaseRepresentation
bin101001100011100111…
…100111010100000000
311021011201021202112010
4221203213213110000
51212340434030414
632255410532520
73136515154536
oct514347472400
9137151252463
1044621001984
1117a18435249
128793597140
134291544070
1422341b4156
151262527959
hexa639e7500

44621001984 has 144 divisors (see below), whose sum is σ = 128013790464. Its totient is φ = 13716480000.

The previous prime is 44621001983. The next prime is 44621002001. The reversal of 44621001984 is 48910012644.

It is a super-2 number, since 2×446210019842 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44621001983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18978409 + ... + 18980759.

It is an arithmetic number, because the mean of its divisors is an integer number (888984656).

Almost surely, 244621001984 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 44621001984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64006895232).

44621001984 is an abundant number, since it is smaller than the sum of its proper divisors (83392788480).

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

44621001984 is a wasteful number, since it uses less digits than its factorization.

44621001984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4284 (or 4270 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 44621001984 in words is "forty-four billion, six hundred twenty-one million, one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 1901 2351 2496 3328 3802 4702 4992 5703 7053 7604 9404 9984 11406 14106 15208 18808 22812 24713 28212 30416 30563 37616 45624 49426 56424 60832 61126 74139 75232 91248 91689 98852 112848 121664 122252 148278 150464 182496 183378 197704 225696 243328 244504 296556 300928 364992 366756 395408 451392 486656 489008 593112 601856 729984 733512 790816 902784 978016 1186224 1459968 1467024 1581632 1805568 1956032 2372448 2934048 3163264 3912064 4469251 4744896 5868096 6326528 7824128 8938502 9489792 11736192 13407753 17877004 18979584 23472384 26815506 35754008 53631012 58100263 71508016 107262024 116200526 143016032 174300789 214524048 232401052 286032064 348601578 429048096 464802104 572064128 697203156 858096192 929604208 1144128256 1394406312 1716192384 1859208416 2788812624 3432384768 3718416832 5577625248 7436833664 11155250496 14873667328 22310500992 44621001984