Search a number
-
+
21277414674120 = 23351129555836329
BaseRepresentation
bin1001101011010000010001…
…01111100100111011001000
32210100002201121112112020210
410311220020233210323020
510242102121124032440
6113130413115521120
74324146112423203
oct465501057447310
983302647475223
1021277414674120
116863778978650
1224778571591a0
13bb45b41ca807
14537b9201c93a
1526d71b0aca80
hex135a08be4ec8

21277414674120 has 128 divisors (see below), whose sum is σ = 72036388368000. Its totient is φ = 4980293498880.

The previous prime is 21277414674101. The next prime is 21277414674157. The reversal of 21277414674120 is 2147641477212.

It is a self number, because there is not a number n which added to its sum of digits gives 21277414674120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277879885 + ... + 277956444.

It is an arithmetic number, because the mean of its divisors is an integer number (562784284125).

Almost surely, 221277414674120 is an apocalyptic number.

21277414674120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21277414674120 is an abundant number, since it is smaller than the sum of its proper divisors (50758973693880).

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

21277414674120 is a wasteful number, since it uses less digits than its factorization.

21277414674120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555836383 (or 555836379 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 48.

The spelling of 21277414674120 in words is "twenty-one trillion, two hundred seventy-seven billion, four hundred fourteen million, six hundred seventy-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 29 30 33 40 44 55 58 60 66 87 88 110 116 120 132 145 165 174 220 232 264 290 319 330 348 435 440 580 638 660 696 870 957 1160 1276 1320 1595 1740 1914 2552 3190 3480 3828 4785 6380 7656 9570 12760 19140 38280 555836329 1111672658 1667508987 2223345316 2779181645 3335017974 4446690632 5558363290 6114199619 6670035948 8337544935 11116726580 12228399238 13340071896 16119253541 16675089870 18342598857 22233453160 24456798476 30570998095 32238507082 33350179740 36685197714 48357760623 48913596952 61141996190 64477014164 66700359480 73370395428 80596267705 91712994285 96715521246 122283992380 128954028328 146740790856 161192535410 177311788951 183425988570 193431042492 241788803115 244567984760 322385070820 354623577902 366851977140 386862084984 483577606230 531935366853 644770141640 709247155804 733703954280 886558944755 967155212460 1063870733706 1418494311608 1773117889510 1934310424920 2127741467412 2659676834265 3546235779020 4255482934824 5319353668530 7092471558040 10638707337060 21277414674120