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20988088902 = 23311193750261
BaseRepresentation
bin10011100010111111…
…001101001001000110
32000011200210101102000
4103202333031021012
5320440422321102
613350343330130
71342050545364
oct234277151106
960150711360
1020988088902
1189a0257920
124098a50946
131c96304421
141031612634
1582c89801c
hex4e2fcd246

20988088902 has 128 divisors (see below), whose sum is σ = 55006732800. Its totient is φ = 5862326400.

The previous prime is 20988088897. The next prime is 20988088907.

20988088902 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (20988088897) and next prime (20988088907).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20988088907) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 392452 + ... + 442712.

It is an arithmetic number, because the mean of its divisors is an integer number (429740100).

Almost surely, 220988088902 is an apocalyptic number.

20988088902 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20988088902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27503366400).

20988088902 is an abundant number, since it is smaller than the sum of its proper divisors (34018643898).

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

20988088902 is a wasteful number, since it uses less digits than its factorization.

20988088902 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50339 (or 50333 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 20988088902 in words is "twenty billion, nine hundred eighty-eight million, eighty-eight thousand, nine hundred two".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 37 38 54 57 66 74 99 111 114 171 198 209 222 297 333 342 407 418 513 594 627 666 703 814 999 1026 1221 1254 1406 1881 1998 2109 2442 3663 3762 4218 5643 6327 7326 7733 10989 11286 12654 15466 18981 21978 23199 37962 46398 50261 69597 100522 139194 150783 208791 301566 417582 452349 552871 904698 954959 1105742 1357047 1658613 1859657 1909918 2714094 2864877 3317226 3719314 4975839 5578971 5729754 8594631 9951678 10504549 11157942 14927517 16736913 17189262 20456227 21009098 25783893 29855034 31513647 33473826 35333483 40912454 50210739 51567786 61368681 63027294 70666966 94540941 100421478 106000449 122737362 184106043 189081882 212000898 283622823 318001347 368212086 388668313 552318129 567245646 636002694 777336626 954004041 1104636258 1166004939 1908008082 2332009878 3498014817 6996029634 10494044451 20988088902