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21054938949093 = 37311271819191531
BaseRepresentation
bin1001100100110001111000…
…01010000010010111100101
32202112211110220012201020010
410302120330022002113211
510224431003332332333
6112440301101000433
74302112005106110
oct462307412022745
982484426181203
1021054938949093
116788393154595
122440708553119
13b9961a62377a
1452b0c8d23577
15267a49889563
hex13263c2825e5

21054938949093 has 128 divisors (see below), whose sum is σ = 33622337781760. Its totient is φ = 11467788192000.

The previous prime is 21054938949059. The next prime is 21054938949119. The reversal of 21054938949093 is 39094983945012.

It is not a de Polignac number, because 21054938949093 - 218 = 21054938686949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21054938949053) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13752408738 + ... + 13752410268.

It is an arithmetic number, because the mean of its divisors is an integer number (262674513920).

Almost surely, 221054938949093 is an apocalyptic number.

It is an amenable number.

21054938949093 is a deficient number, since it is larger than the sum of its proper divisors (12567398832667).

21054938949093 is a wasteful number, since it uses less digits than its factorization.

21054938949093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2799.

The product of its (nonzero) digits is 75582720, while the sum is 66.

The spelling of 21054938949093 in words is "twenty-one trillion, fifty-four billion, nine hundred thirty-eight million, nine hundred forty-nine thousand, ninety-three".

Divisors: 1 3 7 21 31 93 127 181 217 381 543 651 889 919 1267 1531 2667 2757 3801 3937 4593 5611 6433 10717 11811 16833 19299 22987 27559 28489 32151 39277 47461 68961 82677 85467 116713 117831 142383 160909 166339 194437 199423 277111 332227 350139 482727 499017 583311 598269 712597 816991 831333 996681 1164373 1361059 1406989 1939777 2137791 2450973 3493119 3618103 4083177 4220967 4988179 5156509 5819331 6027547 8590441 9848923 10854309 14964537 15469527 18082641 21125053 25326721 25771323 29546769 35193097 36095563 42192829 43616659 60133087 63375159 75980163 105579291 108286689 126578487 130849977 147875371 178687603 180399261 246351679 254665009 305316613 443626113 536062809 654876643 739055037 763995027 915949839 1090986007 1250813221 1782655063 1964629929 3272958021 3752439663 4584136501 5347965189 5539315693 7636902049 7894615279 13752409503 16617947079 22910706147 23683845837 32342456143 38775209851 55262306953 97027368429 116325629553 165786920859 226397193001 679191579003 1002616140433 3007848421299 7018312983031 21054938949093