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21321433998 = 2322928291699
BaseRepresentation
bin10011110110110110…
…110100001110001110
32001000221001001220200
4103312312310032032
5322131241341443
613443412154330
71353236125104
oct236666641616
961027031820
1021321433998
119051436a37
1241706089a6
13201a3a8947
1410639c5c74
1584bc91dd3
hex4f6db438e

21321433998 has 72 divisors (see below), whose sum is σ = 47930259000. Its totient is φ = 6849759168.

The previous prime is 21321433981. The next prime is 21321433999. The reversal of 21321433998 is 89933412312.

21321433998 is a `hidden beast` number, since 2 + 13 + 214 + 339 + 98 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21321433999) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12548553 + ... + 12550251.

Almost surely, 221321433998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21321433998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23965129500).

21321433998 is an abundant number, since it is smaller than the sum of its proper divisors (26608825002).

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

21321433998 is a wasteful number, since it uses less digits than its factorization.

21321433998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2594 (or 2562 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The spelling of 21321433998 in words is "twenty-one billion, three hundred twenty-one million, four hundred thirty-three thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 829 841 1658 1682 1699 2487 2523 3398 4974 5046 5097 7461 7569 10194 14922 15138 15291 24041 30582 48082 49271 72123 98542 144246 147813 216369 295626 432738 443439 697189 886878 1394378 1408471 1428859 2091567 2816942 2857718 4183134 4225413 4286577 6274701 8450826 8573154 12549402 12676239 12859731 25352478 25719462 40845659 81691318 122536977 245073954 367610931 735221862 1184524111 2369048222 3553572333 7107144666 10660716999 21321433998