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20991624948 = 22327118770177
BaseRepresentation
bin10011100011001100…
…101100011011110100
32000011221110000221200
4103203030230123310
5320442323444243
613350551212500
71342122603510
oct234314543364
960157400850
1020991624948
1189a2252578
12409a077130
131c96c71a68
141031c93140
1582cd45ad3
hex4e332c6f4

20991624948 has 72 divisors (see below), whose sum is σ = 60694425792. Its totient is φ = 5992468992.

The previous prime is 20991624947. The next prime is 20991624967. The reversal of 20991624948 is 84942619902.

20991624948 is a `hidden beast` number, since 2 + 0 + 9 + 9 + 1 + 624 + 9 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20991624894 and 20991624903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20991624943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264036 + ... + 334212.

It is an arithmetic number, because the mean of its divisors is an integer number (842978136).

Almost surely, 220991624948 is an apocalyptic number.

20991624948 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

20991624948 is an abundant number, since it is smaller than the sum of its proper divisors (39702800844).

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

20991624948 is a wasteful number, since it uses less digits than its factorization.

20991624948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71381 (or 71376 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 20991624948 in words is "twenty billion, nine hundred ninety-one million, six hundred twenty-four thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1187 2374 3561 4748 7122 8309 10683 14244 16618 21366 24927 33236 42732 49854 70177 74781 99708 140354 149562 210531 280708 299124 421062 491239 631593 842124 982478 1263186 1473717 1964956 2526372 2947434 4421151 5894868 8842302 17684604 83300099 166600198 249900297 333200396 499800594 583100693 749700891 999601188 1166201386 1499401782 1749302079 2332402772 2998803564 3498604158 5247906237 6997208316 10495812474 20991624948