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9993355900 = 225211193712923
BaseRepresentation
bin10010100111010011…
…01000001001111100
3221210110021002010121
421103221220021330
5130431244342100
64331344144324
7502434060253
oct112351501174
927713232117
109993355900
114268a97220
121b2a9080a4
13c33502258
146ab31379a
153d74e951a
hex253a6827c

9993355900 has 144 divisors (see below), whose sum is σ = 25577112960. Its totient is φ = 3349382400.

The previous prime is 9993355873. The next prime is 9993355907. The reversal of 9993355900 is 95533999.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9993355907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 766839 + ... + 779761.

It is an arithmetic number, because the mean of its divisors is an integer number (177618840).

Almost surely, 29993355900 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 9993355900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12788556480).

9993355900 is an abundant number, since it is smaller than the sum of its proper divisors (15583757060).

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

9993355900 is a wasteful number, since it uses less digits than its factorization.

9993355900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13004 (or 12997 counting only the distinct ones).

The product of its (nonzero) digits is 1476225, while the sum is 52.

The square root of 9993355900 is about 99966.7739801580. The cubic root of 9993355900 is about 2153.9574416693.

The spelling of 9993355900 in words is "nine billion, nine hundred ninety-three million, three hundred fifty-five thousand, nine hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 37 38 44 50 55 74 76 95 100 110 148 185 190 209 220 275 370 380 407 418 475 550 703 740 814 836 925 950 1045 1100 1406 1628 1850 1900 2035 2090 2812 3515 3700 4070 4180 5225 7030 7733 8140 10175 10450 12923 14060 15466 17575 20350 20900 25846 30932 35150 38665 40700 51692 64615 70300 77330 129230 142153 154660 193325 245537 258460 284306 323075 386650 478151 491074 568612 646150 710765 773300 956302 982148 1227685 1292300 1421530 1912604 2390755 2455370 2700907 2843060 3553825 4781510 4910740 5259661 5401814 6138425 7107650 9084869 9563020 10519322 10803628 11953775 12276850 13504535 14215300 18169738 21038644 23907550 24553700 26298305 27009070 36339476 45424345 47815100 52596610 54018140 67522675 90848690 99933559 105193220 131491525 135045350 181697380 199867118 227121725 262983050 270090700 399734236 454243450 499667795 525966100 908486900 999335590 1998671180 2498338975 4996677950 9993355900