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21161420262972 = 2235112386051417
BaseRepresentation
bin1001100111111000001101…
…11100000000111000111100
32202221000022202120220200000
410303330012330000320330
510233202042041403342
6113001231113034300
74312601502252333
oct463740674007074
982830282526600
1021161420262972
116819565074740
1224592849b5990
13ba6689b40982
1453230aa82d1a
1526a6ccad344c
hex133f06f00e3c

21161420262972 has 144 divisors (see below), whose sum is σ = 63146595762432. Its totient is φ = 6133744932480.

The previous prime is 21161420262967. The next prime is 21161420262973. The reversal of 21161420262972 is 27926202416112.

21161420262972 is a `hidden beast` number, since 2 + 1 + 1 + 6 + 14 + 2 + 0 + 2 + 629 + 7 + 2 = 666.

It is a super-2 number, since 2×211614202629722 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21161420262973) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42779793 + ... + 43271624.

It is an arithmetic number, because the mean of its divisors is an integer number (438518026128).

Almost surely, 221161420262972 is an apocalyptic number.

21161420262972 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21161420262972 is an abundant number, since it is smaller than the sum of its proper divisors (41985175499460).

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

21161420262972 is a wasteful number, since it uses less digits than its factorization.

21161420262972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86051470 (or 86051456 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 21161420262972 in words is "twenty-one trillion, one hundred sixty-one billion, four hundred twenty million, two hundred sixty-two thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 27 33 36 44 46 54 66 69 81 92 99 108 132 138 162 198 207 243 253 276 297 324 396 414 486 506 594 621 759 828 891 972 1012 1188 1242 1518 1782 1863 2277 2484 2673 3036 3564 3726 4554 5346 5589 6831 7452 9108 10692 11178 13662 20493 22356 27324 40986 61479 81972 122958 245916 86051417 172102834 258154251 344205668 516308502 774462753 946565587 1032617004 1548925506 1893131174 1979182591 2323388259 2839696761 3097851012 3786262348 3958365182 4646776518 5679393522 5937547773 6970164777 7916730364 8519090283 9293553036 11358787044 11875095546 13940329554 17038180566 17812643319 20910494331 21771008501 23750191092 25557270849 27880659108 34076361132 35625286638 41820988662 43542017002 51114541698 53437929957 65313025503 71250573276 76671812547 83641977324 87084034004 102229083396 106875859914 130626051006 153343625094 160313789871 195939076509 213751719828 230015437641 261252102012 306687250188 320627579742 391878153018 460030875282 480941369613 587817229527 641255159484 783756306036 920061750564 961882739226 1175634459054 1763451688581 1923765478452 2351268918108 3526903377162 5290355065743 7053806754324 10580710131486 21161420262972