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99926103400 = 235219113232711
BaseRepresentation
bin101110100010000001…
…1110101010101101000
3100112221000121000011121
41131010003311111220
53114122040302100
6113523323105024
710135155602344
oct1350403652550
9315830530147
1099926103400
1139418753532
1217449072174
139566408446
144b9d306624
1528ec9de51a
hex17440f5568

99926103400 has 96 divisors (see below), whose sum is σ = 246721262400. Its totient is φ = 37531468800.

The previous prime is 99926103391. The next prime is 99926103401. The reversal of 99926103400 is 430162999.

It is a super-2 number, since 2×999261034002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (99926103401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 313045 + ... + 545755.

It is an arithmetic number, because the mean of its divisors is an integer number (2570013150).

Almost surely, 299926103400 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 99926103400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123360631200).

99926103400 is an abundant number, since it is smaller than the sum of its proper divisors (146795159000).

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

99926103400 is a wasteful number, since it uses less digits than its factorization.

99926103400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232859 (or 232850 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 43.

The spelling of 99926103400 in words is "ninety-nine billion, nine hundred twenty-six million, one hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 113 152 190 200 226 380 452 475 565 760 904 950 1130 1900 2147 2260 2825 3800 4294 4520 5650 8588 10735 11300 17176 21470 22600 42940 53675 85880 107350 214700 232711 429400 465422 930844 1163555 1861688 2327110 4421509 4654220 5817775 8843018 9308440 11635550 17686036 22107545 23271100 26296343 35372072 44215090 46542200 52592686 88430180 105185372 110537725 131481715 176860360 210370744 221075450 262963430 442150900 499630517 525926860 657408575 884301800 999261034 1051853720 1314817150 1998522068 2498152585 2629634300 3997044136 4996305170 5259268600 9992610340 12490762925 19985220680 24981525850 49963051700 99926103400