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21978728669376 = 263283459729097
BaseRepresentation
bin1001111111101010100100…
…10100001010000011000000
32212211010221101112210121200
410333311102110022003000
510340044414014410001
6114424515532421200
74425624246136533
oct477652224120300
985733841483550
1021978728669376
117004143393336
12256b75b917800
13c3577b96292b
1455dac1a48a1a
15281ab56bc086
hex13fd5250a0c0

21978728669376 has 84 divisors (see below), whose sum is σ = 63757070227032. Its totient is φ = 7237974887424.

The previous prime is 21978728669363. The next prime is 21978728669377. The reversal of 21978728669376 is 67396682787912.

It is a happy number.

21978728669376 is a `hidden beast` number, since 2 + 1 + 97 + 87 + 2 + 86 + 6 + 9 + 376 = 666.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 21978728669295 and 21978728669304.

It is not an unprimeable number, because it can be changed into a prime (21978728669377) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 229816741 + ... + 229912356.

It is an arithmetic number, because the mean of its divisors is an integer number (759012740798).

Almost surely, 221978728669376 is an apocalyptic number.

It is an amenable number.

21978728669376 is an abundant number, since it is smaller than the sum of its proper divisors (41778341557656).

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

21978728669376 is a wasteful number, since it uses less digits than its factorization.

21978728669376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459729198 (or 459729185 counting only the distinct ones).

The product of its digits is 4608866304, while the sum is 81.

The spelling of 21978728669376 in words is "twenty-one trillion, nine hundred seventy-eight billion, seven hundred twenty-eight million, six hundred sixty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 144 166 192 249 288 332 498 576 664 747 996 1328 1494 1992 2656 2988 3984 5312 5976 7968 11952 15936 23904 47808 459729097 919458194 1379187291 1838916388 2758374582 3677832776 4137561873 5516749164 7355665552 8275123746 11033498328 14711331104 16550247492 22066996656 29422662208 33100494984 38157515051 44133993312 66200989968 76315030102 88267986624 114472545153 132401979936 152630060204 228945090306 264803959872 305260120408 343417635459 457890180612 610520240816 686835270918 915780361224 1221040481632 1373670541836 1831560722448 2442080963264 2747341083672 3663121444896 5494682167344 7326242889792 10989364334688 21978728669376