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20101400028 = 22326135325931
BaseRepresentation
bin10010101110001000…
…110000010111011100
31220212220022220221100
4102232020300113130
5312131424300103
613122350433100
71311063036543
oct225610602734
956786286840
1020101400028
1185857973a6
123a8bb02790
131b846bb758
14d8995d15a
157c9aea5a3
hex4ae2305dc

20101400028 has 72 divisors (see below), whose sum is σ = 51793153776. Its totient is φ = 6571699200.

The previous prime is 20101400027. The next prime is 20101400041. The reversal of 20101400028 is 82000410102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101400023) 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, 762223 + ... + 788153.

It is an arithmetic number, because the mean of its divisors is an integer number (719349358).

Almost surely, 220101400028 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 20101400028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25896576888).

20101400028 is an abundant number, since it is smaller than the sum of its proper divisors (31691753748).

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

20101400028 is a wasteful number, since it uses less digits than its factorization.

20101400028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26355 (or 26350 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 20101400028 in words is "twenty billion, one hundred one million, four hundred thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 353 366 549 706 732 1059 1098 1412 2118 2196 3177 4236 6354 12708 21533 25931 43066 51862 64599 77793 86132 103724 129198 155586 193797 233379 258396 311172 387594 466758 775188 933516 1581791 3163582 4745373 6327164 9153643 9490746 14236119 18307286 18981492 27460929 28472238 36614572 54921858 56944476 82382787 109843716 164765574 329531148 558372223 1116744446 1675116669 2233488892 3350233338 5025350007 6700466676 10050700014 20101400028