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40983048525276 = 223211132331101227487
BaseRepresentation
bin10010101000110000111000…
…00011001001010111011100
312101002221102010011022001100
421110120130003021113130
520332431240410302101
6223055204053513100
711426633101454454
oct1124303403112734
9171087363138040
1040983048525276
11120708a4515120
12471a958042790
1319b38b992cc90
14a19839474d64
154b10e3193e86
hex25461c0c95dc

40983048525276 has 1152 divisors, whose sum is σ = 133249851850752. Its totient is φ = 10438813440000.

The previous prime is 40983048525191. The next prime is 40983048525281. The reversal of 40983048525276 is 67252584038904.

40983048525276 is a `hidden beast` number, since 4 + 0 + 9 + 8 + 30 + 4 + 8 + 525 + 2 + 76 = 666.

It is a super-2 number, since 2×409830485252762 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 84154103505 + ... + 84154103991.

It is an arithmetic number, because the mean of its divisors is an integer number (115668274176).

Almost surely, 240983048525276 is an apocalyptic number.

40983048525276 is a gapful number since it is divisible by the number (46) 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 40983048525276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66624925925376).

40983048525276 is an abundant number, since it is smaller than the sum of its proper divisors (92266803325476).

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

40983048525276 is a wasteful number, since it uses less digits than its factorization.

40983048525276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 40983048525276 in words is "forty trillion, nine hundred eighty-three billion, forty-eight million, five hundred twenty-five thousand, two hundred seventy-six".