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1126426402600 = 235261711300423
BaseRepresentation
bin10000011001000100001…
…111101101111100101000
310222200111121000010001121
4100121010033231330220
5121423410124340400
62221250111025024
7144244616305042
oct20310417557450
93880447003047
101126426402600
113a479537a444
12162385b0b174
13822b59a59a5
143c73b076a92
151e47a9d121a
hex106443edf28

1126426402600 has 96 divisors (see below), whose sum is σ = 2699368122240. Its totient is φ = 436941792000.

The previous prime is 1126426402571. The next prime is 1126426402613. The reversal of 1126426402600 is 62046246211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215989 + ... + 1516411.

It is an arithmetic number, because the mean of its divisors is an integer number (28118417940).

Almost surely, 21126426402600 is an apocalyptic number.

1126426402600 is a gapful number since it is divisible by the number (10) 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 1126426402600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349684061120).

1126426402600 is an abundant number, since it is smaller than the sum of its proper divisors (1572941719640).

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

1126426402600 is a wasteful number, since it uses less digits than its factorization.

1126426402600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300571 (or 1300562 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 1126426402600 in words is "one trillion, one hundred twenty-six billion, four hundred twenty-six million, four hundred two thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 71 100 122 142 200 244 284 305 355 488 568 610 710 1220 1420 1525 1775 2440 2840 3050 3550 4331 6100 7100 8662 12200 14200 17324 21655 34648 43310 86620 108275 173240 216550 433100 866200 1300423 2600846 5201692 6502115 10403384 13004230 26008460 32510575 52016920 65021150 79325803 92330033 130042300 158651606 184660066 260084600 317303212 369320132 396629015 461650165 634606424 738640264 793258030 923300330 1586516060 1846600660 1983145075 2308250825 3173032120 3693201320 3966290150 4616501650 5632132013 7932580300 9233003300 11264264026 15865160600 18466006600 22528528052 28160660065 45057056104 56321320130 112642640260 140803300325 225285280520 281606600650 563213201300 1126426402600