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21250076148 = 22327353238883
BaseRepresentation
bin10011110010100110…
…100110110111110100
32000211221202201100100
4103302212212313310
5322010004414043
613432342514100
71351411444530
oct236246466764
960757681310
1021250076148
119015128804
124150735930
132008683072
14105832cbc0
15845898cd3
hex4f29a6df4

21250076148 has 72 divisors (see below), whose sum is σ = 61563273408. Its totient is φ = 6054225408.

The previous prime is 21250076129. The next prime is 21250076153. The reversal of 21250076148 is 84167005212.

21250076148 is a `hidden beast` number, since 2 + 1 + 2 + 500 + 7 + 6 + 148 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30486 + ... + 208397.

It is an arithmetic number, because the mean of its divisors is an integer number (855045464).

Almost surely, 221250076148 is an apocalyptic number.

21250076148 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21250076148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30781636704).

21250076148 is an abundant number, since it is smaller than the sum of its proper divisors (40313197260).

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

21250076148 is a wasteful number, since it uses less digits than its factorization.

21250076148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239253 (or 239248 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 21250076148 in words is "twenty-one billion, two hundred fifty million, seventy-six thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 353 706 1059 1412 2118 2471 3177 4236 4942 6354 7413 9884 12708 14826 22239 29652 44478 88956 238883 477766 716649 955532 1433298 1672181 2149947 2866596 3344362 4299894 5016543 6688724 8599788 10033086 15049629 20066172 30099258 60198516 84325699 168651398 252977097 337302796 505954194 590279893 758931291 1011908388 1180559786 1517862582 1770839679 2361119572 3035725164 3541679358 5312519037 7083358716 10625038074 21250076148