Search a number
-
+
10022029976 = 237239764399
BaseRepresentation
bin10010101010101110…
…00000101010011000
3221212110012212120102
421111113000222120
5131011114424401
64334250514532
7503232564200
oct112527005230
927773185512
1010022029976
1142831a1502
121b38435a48
13c3943186a
146b1059400
153d9cb056b
hex2555c0a98

10022029976 has 48 divisors (see below), whose sum is σ = 21914676000. Its totient is φ = 4284270144.

The previous prime is 10022029943. The next prime is 10022029987. The reversal of 10022029976 is 67992022001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123425 + ... + 187823.

It is an arithmetic number, because the mean of its divisors is an integer number (456555750).

Almost surely, 210022029976 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 10022029976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10957338000).

10022029976 is an abundant number, since it is smaller than the sum of its proper divisors (11892646024).

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

10022029976 is a wasteful number, since it uses less digits than its factorization.

10022029976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64816 (or 64805 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The spelling of 10022029976 in words is "ten billion, twenty-two million, twenty-nine thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 397 794 1588 2779 3176 5558 11116 19453 22232 38906 64399 77812 128798 155624 257596 450793 515192 901586 1803172 3155551 3606344 6311102 12622204 25244408 25566403 51132806 102265612 178964821 204531224 357929642 715859284 1252753747 1431718568 2505507494 5011014988 10022029976