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23238640207872 = 211328233153137
BaseRepresentation
bin1010100100010101010101…
…11001010000100000000000
310001021120222210101101222100
411102022222321100200000
511021220213343122442
6121231403421310400
74615636111413165
oct522125271204000
9101246883341870
1023238640207872
11744a4a7627001
122733979705400
13cc7518573c1b
145a4a82d9a06c
152a4754e8484c
hex1522aae50800

23238640207872 has 144 divisors (see below), whose sum is σ = 67126049974620. Its totient is φ = 7745221951488.

The previous prime is 23238640207859. The next prime is 23238640207897. The reversal of 23238640207872 is 27870204683232.

23238640207872 is a `hidden beast` number, since 2 + 3 + 23 + 86 + 402 + 0 + 78 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22434849063936 + 803791143936 = 4736544^2 + 896544^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151674088 + ... + 151827224.

Almost surely, 223238640207872 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 23238640207872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33563024987310).

23238640207872 is an abundant number, since it is smaller than the sum of its proper divisors (43887409766748).

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

23238640207872 is a wasteful number, since it uses less digits than its factorization.

23238640207872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161398 (or 161375 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 23238640207872 in words is "twenty-three trillion, two hundred thirty-eight billion, six hundred forty million, two hundred seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 8233 9216 16466 18432 24699 32932 49398 65864 74097 98796 131728 148194 153137 197592 263456 296388 306274 395184 459411 526912 592776 612548 790368 918822 1053824 1185552 1225096 1378233 1580736 1837644 2107648 2371104 2450192 2756466 3161472 3675288 4215296 4742208 4900384 5512932 6322944 7350576 8430592 9484416 9800768 11025864 12645888 14701152 16861184 18968832 19601536 22051728 25291776 29402304 37937664 39203072 44103456 50583552 58804608 75875328 78406144 88206912 117609216 151750656 156812288 176413824 235218432 313624576 352827648 470436864 705655296 940873728 1260776921 1411310592 2521553842 2822621184 3782330763 5043107684 7564661526 10086215368 11346992289 15129323052 20172430736 22693984578 30258646104 40344861472 45387969156 60517292208 80689722944 90775938312 121034584416 161379445888 181551876624 242069168832 322758891776 363103753248 484138337664 645517783552 726207506496 968276675328 1291035567104 1452415012992 1936553350656 2582071134208 2904830025984 3873106701312 5809660051968 7746213402624 11619320103936 23238640207872