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21402104625 = 3253111978779
BaseRepresentation
bin10011111011101010…
…100011001100110001
32001020112211120012200
4103323222203030301
5322312414322000
613455413213413
71355235613326
oct237352431461
961215746180
1021402104625
119092a25a80
124193631269
132031012345
1410705c4b4d
15853dc9500
hex4fbaa3331

21402104625 has 96 divisors (see below), whose sum is σ = 42306675840. Its totient is φ = 10322928000.

The previous prime is 21402104611. The next prime is 21402104639. The reversal of 21402104625 is 52640120412.

21402104625 is a `hidden beast` number, since 2 + 14 + 0 + 21 + 0 + 4 + 625 = 666.

It is an interprime number because it is at equal distance from previous prime (21402104611) and next prime (21402104639).

It is not a de Polignac number, because 21402104625 - 27 = 21402104497 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2433486 + ... + 2442264.

It is an arithmetic number, because the mean of its divisors is an integer number (440694540).

Almost surely, 221402104625 is an apocalyptic number.

21402104625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21402104625 is a deficient number, since it is larger than the sum of its proper divisors (20904571215).

21402104625 is a wasteful number, since it uses less digits than its factorization.

21402104625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9008 (or 8995 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 21402104625 in words is "twenty-one billion, four hundred two million, one hundred four thousand, six hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 125 165 197 225 275 375 495 591 825 985 1125 1375 1773 2167 2475 2955 4125 4925 6501 8779 8865 10835 12375 14775 19503 24625 26337 32505 43895 44325 54175 73875 79011 96569 97515 131685 162525 219475 221625 270875 289707 395055 482845 487575 658425 812625 869121 1097375 1448535 1729463 1975275 2414225 2437875 3292125 4345605 5188389 7242675 8647315 9876375 12071125 15565167 19024093 21728025 25941945 36213375 43236575 57072279 77825835 95120465 108640125 129709725 171216837 216182875 285361395 389129175 475602325 648548625 856084185 1426806975 1945645875 2378011625 4280420925 7134034875 21402104625