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21510510032 = 2411376154151
BaseRepresentation
bin10100000010001000…
…000101010111010000
32001112002211010110202
4110002020011113100
5323023142310112
613514244514332
71361023214144
oct240210052720
961462733422
1021510510032
119139138620
1242039ab9a8
13204a60995b
141080b63224
1585d68e6c2
hex5022055d0

21510510032 has 80 divisors (see below), whose sum is σ = 47460545664. Its totient is φ = 9357120000.

The previous prime is 21510510029. The next prime is 21510510037. The reversal of 21510510032 is 23001501512.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21510509986 and 21510510013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21510510037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 370157 + ... + 424307.

Almost surely, 221510510032 is an apocalyptic number.

21510510032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21510510032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23730272832).

21510510032 is an abundant number, since it is smaller than the sum of its proper divisors (25950035632).

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

21510510032 is a wasteful number, since it uses less digits than its factorization.

21510510032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54268 (or 54262 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The spelling of 21510510032 in words is "twenty-one billion, five hundred ten million, five hundred ten thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 37 44 61 74 88 122 148 176 244 296 407 488 592 671 814 976 1342 1628 2257 2684 3256 4514 5368 6512 9028 10736 18056 24827 36112 49654 54151 99308 108302 198616 216604 397232 433208 595661 866416 1191322 2003587 2382644 3303211 4007174 4765288 6606422 8014348 9530576 13212844 16028696 22039457 26425688 32057392 36335321 44078914 52851376 72670642 88157828 122218807 145341284 176315656 244437614 290682568 352631312 488875228 581365136 977750456 1344406877 1955500912 2688813754 5377627508 10755255016 21510510032