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21301200739008 = 263324115112851
BaseRepresentation
bin1001101011111100100101…
…00000001101101011000000
32210102101010022012211011000
410311332102200031223000
510242444324342122013
6113145345253452000
74325650416560151
oct465762240155300
983371108184130
1021301200739008
116872874550213
122480395041000
13bb69050a0b18
14538dab089928
1526e15e3e0973
hex135f9280dac0

21301200739008 has 112 divisors (see below), whose sum is σ = 62647571041920. Its totient is φ = 7097453856000.

The previous prime is 21301200739003. The next prime is 21301200739033. The reversal of 21301200739008 is 80093700210312.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21301200739003) 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, 1609783 + ... + 6722633.

Almost surely, 221301200739008 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 21301200739008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31323785520960).

21301200739008 is an abundant number, since it is smaller than the sum of its proper divisors (41346370302912).

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

21301200739008 is a wasteful number, since it uses less digits than its factorization.

21301200739008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5115283 (or 5115267 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 21301200739008 in words is "twenty-one trillion, three hundred one billion, two hundred million, seven hundred thirty-nine thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 2411 4822 7233 9644 14466 19288 21699 28932 38576 43398 57864 65097 77152 86796 115728 130194 154304 173592 231456 260388 347184 462912 520776 694368 1041552 1388736 2083104 4166208 5112851 10225702 15338553 20451404 30677106 40902808 46015659 61354212 81805616 92031318 122708424 138046977 163611232 184062636 245416848 276093954 327222464 368125272 490833696 552187908 736250544 981667392 1104375816 1472501088 2208751632 2945002176 4417503264 8835006528 12327083761 24654167522 36981251283 49308335044 73962502566 98616670088 110943753849 147925005132 197233340176 221887507698 295850010264 332831261547 394466680352 443775015396 591700020528 665662523094 788933360704 887550030792 1183400041056 1331325046188 1775100061584 2366800082112 2662650092376 3550200123168 5325300184752 7100400246336 10650600369504 21301200739008