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9900273552 = 2431333147933
BaseRepresentation
bin10010011100001101…
…00010111110010000
3221112222010000011020
421032012202332100
5130233432223202
64314221115440
7500223636201
oct111606427620
927488100136
109900273552
1142204a0064
121b036b8b80
13c1a141340
1469cc035a8
153ce25e5bc
hex24e1a2f90

9900273552 has 80 divisors (see below), whose sum is σ = 27626856768. Its totient is φ = 3036971520.

The previous prime is 9900273541. The next prime is 9900273619. The reversal of 9900273552 is 2553720099.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182578 + ... + 230510.

Almost surely, 29900273552 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 9900273552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13813428384).

9900273552 is an abundant number, since it is smaller than the sum of its proper divisors (17726583216).

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

9900273552 is a wasteful number, since it uses less digits than its factorization.

9900273552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48288 (or 48282 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 42.

The square root of 9900273552 is about 99500.1183516884. The cubic root of 9900273552 is about 2147.2489459019.

The spelling of 9900273552 in words is "nine billion, nine hundred million, two hundred seventy-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 331 624 662 993 1324 1986 2648 3972 4303 5296 7944 8606 12909 15888 17212 25818 34424 47933 51636 68848 95866 103272 143799 191732 206544 287598 383464 575196 623129 766928 1150392 1246258 1869387 2300784 2492516 3738774 4985032 7477548 9970064 14955096 15865823 29910192 31731646 47597469 63463292 95194938 126926584 190389876 206255699 253853168 380779752 412511398 618767097 761559504 825022796 1237534194 1650045592 2475068388 3300091184 4950136776 9900273552