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21202427088 = 24322341156139
BaseRepresentation
bin10011101111110000…
…110101110011010000
32000201122002220010100
4103233300311303100
5321410310131323
613423521332400
71350262441143
oct235760656320
960648086110
1021202427088
118aa0243317
124138797100
131ccb83ba5b
141051c8805a
158415d5943
hex4efc35cd0

21202427088 has 120 divisors (see below), whose sum is σ = 63427815360. Its totient is φ = 6595269120.

The previous prime is 21202427041. The next prime is 21202427093. The reversal of 21202427088 is 88072420212.

21202427088 is a `hidden beast` number, since 21 + 202 + 427 + 0 + 8 + 8 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57723 + ... + 213861.

It is an arithmetic number, because the mean of its divisors is an integer number (528565128).

Almost surely, 221202427088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21202427088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31713907680).

21202427088 is an abundant number, since it is smaller than the sum of its proper divisors (42225388272).

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

21202427088 is a wasteful number, since it uses less digits than its factorization.

21202427088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156217 (or 156208 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 21202427088 in words is "twenty-one billion, two hundred two million, four hundred twenty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 41 46 48 69 72 82 92 123 138 144 164 184 207 246 276 328 368 369 414 492 552 656 738 828 943 984 1104 1476 1656 1886 1968 2829 2952 3312 3772 5658 5904 7544 8487 11316 15088 16974 22632 33948 45264 67896 135792 156139 312278 468417 624556 936834 1249112 1405251 1873668 2498224 2810502 3591197 3747336 5621004 6401699 7182394 7494672 10773591 11242008 12803398 14364788 19205097 21547182 22484016 25606796 28729576 32320773 38410194 43094364 51213592 57459152 57615291 64641546 76820388 86188728 102427184 115230582 129283092 147239077 153640776 172377456 230461164 258566184 294478154 307281552 441717231 460922328 517132368 588956308 883434462 921844656 1177912616 1325151693 1766868924 2355825232 2650303386 3533737848 5300606772 7067475696 10601213544 21202427088