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1126074038376 = 233722731350621
BaseRepresentation
bin10000011000101111001…
…111100011100001101000
310222122121000222011012210
4100120233033203201220
5121422144423212001
62221151122405120
7144233110253100
oct20305717434150
93878530864183
101126074038376
113a462448aa41
121622a7b007a0
138225a9a2651
143c706352200
151e459acbdd6
hex1062f3e3868

1126074038376 has 96 divisors (see below), whose sum is σ = 3276015619680. Its totient is φ = 321616713600.

The previous prime is 1126074038363. The next prime is 1126074038393. The reversal of 1126074038376 is 6738304706211.

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, 3036346 + ... + 3386966.

It is an arithmetic number, because the mean of its divisors is an integer number (34125162705).

Almost surely, 21126074038376 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 1126074038376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638007809840).

1126074038376 is an abundant number, since it is smaller than the sum of its proper divisors (2149941581304).

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

1126074038376 is a wasteful number, since it uses less digits than its factorization.

1126074038376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353375 (or 353364 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 1126074038376 in words is "one trillion, one hundred twenty-six billion, seventy-four million, thirty-eight thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 2731 5462 8193 10924 16386 19117 21848 32772 38234 57351 65544 76468 114702 133819 152936 229404 267638 350621 401457 458808 535276 701242 802914 1051863 1070552 1402484 1605828 2103726 2454347 2804968 3211656 4207452 4908694 7363041 8414904 9817388 14726082 17180429 19634776 29452164 34360858 51541287 58904328 68721716 103082574 137443432 206165148 412330296 957545951 1915091902 2872637853 3830183804 5745275706 6702821657 7660367608 11490551412 13405643314 20108464971 22981102824 26811286628 40216929942 46919751599 53622573256 80433859884 93839503198 140759254797 160867719768 187679006396 281518509594 375358012792 563037019188 1126074038376