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21142631536 = 24131729320407
BaseRepresentation
bin10011101100001100…
…101111010001110000
32000120110120222001021
4103230030233101300
5321300003202121
613413543545224
71345635255115
oct235414572160
960513528037
1021142631536
118a6a512004
12412075b214
131cbc333b80
141047d6090c
1583b223641
hex4ec32f470

21142631536 has 80 divisors (see below), whose sum is σ = 46871625024. Its totient is φ = 9152335872.

The previous prime is 21142631507. The next prime is 21142631579. The reversal of 21142631536 is 63513624112.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1025845 + ... + 1046251.

Almost surely, 221142631536 is an apocalyptic number.

21142631536 is a gapful number since it is divisible by the number (26) 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 21142631536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23435812512).

21142631536 is an abundant number, since it is smaller than the sum of its proper divisors (25728993488).

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

21142631536 is a wasteful number, since it uses less digits than its factorization.

21142631536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20738 (or 20732 counting only the distinct ones).

The product of its digits is 25920, while the sum is 34.

The spelling of 21142631536 in words is "twenty-one billion, one hundred forty-two million, six hundred thirty-one thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 293 442 586 884 1172 1768 2344 3536 3809 4688 4981 7618 9962 15236 19924 20407 30472 39848 40814 60944 64753 79696 81628 129506 163256 259012 265291 326512 346919 518024 530582 693838 1036048 1061164 1387676 2122328 2775352 4244656 4509947 5550704 5979251 9019894 11958502 18039788 23917004 36079576 47834008 72159152 77730263 95668016 101647267 155460526 203294534 310921052 406589068 621842104 813178136 1243684208 1321414471 1626356272 2642828942 5285657884 10571315768 21142631536