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20888029350 = 23252347133769
BaseRepresentation
bin10011011101000001…
…100000100010100110
31222220201111211111200
4103131001200202212
5320234313414400
613332410543330
71336424214516
oct233501404246
958821454450
1020888029350
118949825681
12406b437b46
131c7b66c7a6
141022207846
15823bd0b00
hex4dd0608a6

20888029350 has 72 divisors (see below), whose sum is σ = 56281319640. Its totient is φ = 5554047360.

The previous prime is 20888029291. The next prime is 20888029367. The reversal of 20888029350 is 5392088802.

It is a super-2 number, since 2×208880293502 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 20888029296 and 20888029305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 89266 + ... + 223034.

It is an arithmetic number, because the mean of its divisors is an integer number (781684995).

Almost surely, 220888029350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20888029350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28140659820).

20888029350 is an abundant number, since it is smaller than the sum of its proper divisors (35393290290).

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

20888029350 is a wasteful number, since it uses less digits than its factorization.

20888029350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134134 (or 134126 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 20888029350 in words is "twenty billion, eight hundred eighty-eight million, twenty-nine thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 347 450 694 1041 1735 2082 3123 3470 5205 6246 8675 10410 15615 17350 26025 31230 52050 78075 133769 156150 267538 401307 668845 802614 1203921 1337690 2006535 2407842 3344225 4013070 6019605 6688450 10032675 12039210 20065350 30098025 46417843 60196050 92835686 139253529 232089215 278507058 417760587 464178430 696267645 835521174 1160446075 1392535290 2088802935 2320892150 3481338225 4177605870 6962676450 10444014675 20888029350