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44501366101016 = 231123149426134631
BaseRepresentation
bin10100001111001010010000…
…00111100101010000011000
312211120021210201101112210002
422013211020013211100120
521313102244210213031
6234351351221512132
712242055223434146
oct1207451007452030
9184507721345702
1044501366101016
11131a7a1801a040
124ba87b5572648
131baa5cb550b56
14adbc40248596
155228b1705ccb
hex2879481e5418

44501366101016 has 128 divisors (see below), whose sum is σ = 95645826432000. Its totient is φ = 19213499712000.

The previous prime is 44501366101007. The next prime is 44501366101021. The reversal of 44501366101016 is 61010166310544.

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, 1284998021 + ... + 1285032651.

It is an arithmetic number, because the mean of its divisors is an integer number (747233019000).

Almost surely, 244501366101016 is an apocalyptic number.

44501366101016 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 44501366101016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47822913216000).

44501366101016 is an abundant number, since it is smaller than the sum of its proper divisors (51144460330984).

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

44501366101016 is a wasteful number, since it uses less digits than its factorization.

44501366101016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39081 (or 39077 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The spelling of 44501366101016 in words is "forty-four trillion, five hundred one billion, three hundred sixty-six million, one hundred one thousand, sixteen".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 149 184 253 298 506 596 1012 1192 1639 2024 3278 3427 4261 6556 6854 8522 13112 13708 17044 27416 34088 34631 37697 46871 69262 75394 93742 98003 138524 150788 187484 196006 277048 301576 374968 380941 392012 634889 761882 784024 796513 1078033 1269778 1523764 1593026 2156066 2539556 3047528 3186052 4312132 5079112 5160019 6372104 6983779 8624264 8761643 10320038 13967558 14602447 17523286 20640076 27935116 29204894 35046572 41280152 55870232 56760209 58409788 70093144 113520418 116819576 118680437 147562691 160626917 227040836 237360874 295125382 321253834 454081672 474721748 590250764 642507668 949443496 1180501528 1285015336 1305484807 1623189601 2610969614 3246379202 3393941893 5221939228 6492758404 6787883786 10443878456 12985516808 13575767572 21986840959 27151535144 37333360823 43973681918 74666721646 87947363836 149333443292 175894727672 241855250549 298666886584 483710501098 505697342057 967421002196 1011394684114 1934842004392 2022789368228 4045578736456 5562670762627 11125341525254 22250683050508 44501366101016