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20102993152 = 281137319139
BaseRepresentation
bin10010101110001110…
…110101010100000000
31220220000022212021221
4102232032311110000
5312132331240102
613122444524424
71311112423324
oct225616652400
956800285257
1020102993152
118586685330
123a90550714
131b84b28928
14d89c55984
157c9d12637
hex4ae3b5500

20102993152 has 72 divisors (see below), whose sum is σ = 43895063520. Its totient is φ = 9112750080.

The previous prime is 20102993147. The next prime is 20102993159. The reversal of 20102993152 is 25139920102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102993159) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1040799 + ... + 1059937.

It is an arithmetic number, because the mean of its divisors is an integer number (609653660).

Almost surely, 220102993152 is an apocalyptic number.

20102993152 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 20102993152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21947531760).

20102993152 is an abundant number, since it is smaller than the sum of its proper divisors (23792070368).

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

20102993152 is a wasteful number, since it uses less digits than its factorization.

20102993152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19539 (or 19525 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The spelling of 20102993152 in words is "twenty billion, one hundred two million, nine hundred ninety-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 373 704 746 1408 1492 2816 2984 4103 5968 8206 11936 16412 19139 23872 32824 38278 47744 65648 76556 95488 131296 153112 210529 262592 306224 421058 525184 612448 842116 1050368 1224896 1684232 2449792 3368464 4899584 6736928 7138847 13473856 14277694 26947712 28555388 53895424 57110776 78527317 114221552 157054634 228443104 314109268 456886208 628218536 913772416 1256437072 1827544832 2512874144 5025748288 10051496576 20102993152