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20630756928 = 2631931182431
BaseRepresentation
bin10011001101101100…
…000101111001000000
31222020210102001002110
4103031230011321000
5314222433210203
613251100415320
71330151353245
oct231554057100
958223361073
1020630756928
118827585041
123bb9247540
131c3a281ba2
14dd9d975cc
1580b311d03
hex4cdb05e40

20630756928 has 112 divisors (see below), whose sum is σ = 59312291840. Its totient is φ = 6304780800.

The previous prime is 20630756921. The next prime is 20630756941. The reversal of 20630756928 is 82965703602.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (20630756921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21873 + ... + 204303.

Almost surely, 220630756928 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 20630756928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29656145920).

20630756928 is an abundant number, since it is smaller than the sum of its proper divisors (38681534912).

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

20630756928 is a wasteful number, since it uses less digits than its factorization.

20630756928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182496 (or 182486 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 20630756928 in words is "twenty billion, six hundred thirty million, seven hundred fifty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 64 76 93 96 114 124 152 186 192 228 248 304 372 456 496 589 608 744 912 992 1178 1216 1488 1767 1824 1984 2356 2976 3534 3648 4712 5952 7068 9424 14136 18848 28272 37696 56544 113088 182431 364862 547293 729724 1094586 1459448 2189172 2918896 3466189 4378344 5655361 5837792 6932378 8756688 10398567 11310722 11675584 13864756 16966083 17513376 20797134 22621444 27729512 33932166 35026752 41594268 45242888 55459024 67864332 83188536 90485776 107451859 110918048 135728664 166377072 180971552 214903718 221836096 271457328 322355577 332754144 361943104 429807436 542914656 644711154 665508288 859614872 1085829312 1289422308 1719229744 2578844616 3438459488 5157689232 6876918976 10315378464 20630756928