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10070216244 = 223311292391223
BaseRepresentation
bin10010110000011101…
…10100111000110100
3221222210212222201000
421120032310320310
5131110433404434
64343131403300
7504356266014
oct113016647064
927883788630
1010070216244
1142a8413570
121b505b3530
13c4640354a
146b75ddc44
153de12cb99
hex2583b4e34

10070216244 has 192 divisors, whose sum is σ = 29611008000. Its totient is φ = 2931626880.

The previous prime is 10070216243. The next prime is 10070216269. The reversal of 10070216244 is 44261207001.

10070216244 is a `hidden beast` number, since 10 + 0 + 7 + 0 + 21 + 624 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10070216243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8233417 + ... + 8234639.

It is an arithmetic number, because the mean of its divisors is an integer number (154224000).

Almost surely, 210070216244 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 10070216244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14805504000).

10070216244 is an abundant number, since it is smaller than the sum of its proper divisors (19540791756).

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

10070216244 is a wasteful number, since it uses less digits than its factorization.

10070216244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 10070216244 in words is "ten billion, seventy million, two hundred sixteen thousand, two hundred forty-four".