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38383558174052 = 22713792575193781
BaseRepresentation
bin10001011101000110111100…
…10110011010010101100100
312000220102200011110020021122
420232203132112122111210
520012334011343032202
6213345055130033112
711041056232163030
oct1056433626322544
9160812604406248
1038383558174052
1111259414a28483
12437aba7b78798
1318557281c1240
14969aba2c91c0
1546869ee6a9a2
hex22e8de59a564

38383558174052 has 96 divisors (see below), whose sum is σ = 84044533816320. Its totient is φ = 14934153461760.

The previous prime is 38383558174021. The next prime is 38383558174063. The reversal of 38383558174052 is 25047185538383.

38383558174052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4793402 + ... + 9987182.

It is an arithmetic number, because the mean of its divisors is an integer number (875463893920).

Almost surely, 238383558174052 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 38383558174052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42022266908160).

38383558174052 is an abundant number, since it is smaller than the sum of its proper divisors (45660975642268).

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

38383558174052 is a wasteful number, since it uses less digits than its factorization.

38383558174052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5194141 (or 5194139 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 62.

The spelling of 38383558174052 in words is "thirty-eight trillion, three hundred eighty-three billion, five hundred fifty-eight million, one hundred seventy-four thousand, fifty-two".

Divisors: 1 2 4 7 13 14 26 28 52 79 91 158 182 257 316 364 514 553 1027 1028 1106 1799 2054 2212 3341 3598 4108 6682 7189 7196 13364 14378 20303 23387 28756 40606 46774 81212 93548 142121 263939 284242 527878 568484 1055756 1847573 3695146 5193781 7390292 10387562 20775124 36356467 67519153 72712934 135038306 145425868 270076612 410308699 472634071 820617398 945268142 1334801717 1641234796 1890536284 2669603434 2872160893 5334013087 5339206868 5744321786 9343612019 10668026174 11488643572 17352422321 18687224038 21336052348 34704844642 37338091609 37374448076 69409689284 74676183218 105449335643 121466956247 149352366436 210898671286 242933912494 421797342572 485867824988 738145349501 1370841363359 1476290699002 2741682726718 2952581398004 5483365453436 9595889543513 19191779087026 38383558174052