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99314132736 = 2837131783591
BaseRepresentation
bin101110001111110010…
…1010110011100000000
3100111100101001200020110
41130133211112130000
53111343404221421
6113342502311320
710114045125330
oct1343745263400
9314311050213
1099314132736
1139134269955
12172b8128540
1394996ab020
144b41d250c0
1528b3e09a76
hex171f956700

99314132736 has 288 divisors, whose sum is σ = 344457888768. Its totient is φ = 24651694080.

The previous prime is 99314132653. The next prime is 99314132773. The reversal of 99314132736 is 63723141399.

It is a super-2 number, since 2×993141327362 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1146301 + ... + 1229891.

It is an arithmetic number, because the mean of its divisors is an integer number (1196034336).

Almost surely, 299314132736 is an apocalyptic number.

99314132736 is a gapful number since it is divisible by the number (96) 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 99314132736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172228944384).

99314132736 is an abundant number, since it is smaller than the sum of its proper divisors (245143756032).

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

99314132736 is a wasteful number, since it uses less digits than its factorization.

99314132736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83647 (or 83633 counting only the distinct ones).

The product of its digits is 734832, while the sum is 48.

The spelling of 99314132736 in words is "ninety-nine billion, three hundred fourteen million, one hundred thirty-two thousand, seven hundred thirty-six".