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10071696000 = 273533753107
BaseRepresentation
bin10010110000101000…
…11110001010000000
3221222220200011112210
421120110132022000
5131111323233000
64343223222120
7504405001122
oct113024361200
927886604483
1010071696000
1142a9234303
121b50ba7940
13c46800c42
146b78a7212
153de321350
hex25851e280

10071696000 has 512 divisors, whose sum is σ = 35263537920. Its totient is φ = 2539929600.

The previous prime is 10071695971. The next prime is 10071696013. The reversal of 10071696000 is 69617001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94127947 + ... + 94128053.

Almost surely, 210071696000 is an apocalyptic number.

10071696000 is a gapful number since it is divisible by the number (10) 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 10071696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17631768960).

10071696000 is an abundant number, since it is smaller than the sum of its proper divisors (25191841920).

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

10071696000 is a wasteful number, since it uses less digits than its factorization.

10071696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The spelling of 10071696000 in words is "ten billion, seventy-one million, six hundred ninety-six thousand".