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1007033674344 = 233123733920563
BaseRepresentation
bin11101010011101111110…
…00100110101001101000
310120021022220112002210020
432221313320212221220
5112444401110034334
62050342550320440
7132520142666145
oct16516770465150
93507286462706
101007033674344
1135909828a5a5
12143205659120
1373c69562019
1436a5264b3cc
151b2dded2e49
hexea77e26a68

1007033674344 has 32 divisors (see below), whose sum is σ = 2519619493920. Its totient is φ = 335406517056.

The previous prime is 1007033674319. The next prime is 1007033674351. The reversal of 1007033674344 is 4434763307001.

It is a junction number, because it is equal to n+sod(n) for n = 1007033674296 and 1007033674305.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16930594 + ... + 16989969.

It is an arithmetic number, because the mean of its divisors is an integer number (78738109185).

Almost surely, 21007033674344 is an apocalyptic number.

It is an amenable number.

1007033674344 is an abundant number, since it is smaller than the sum of its proper divisors (1512585819576).

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

1007033674344 is a wasteful number, since it uses less digits than its factorization.

1007033674344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33921809 (or 33921805 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 42.

The spelling of 1007033674344 in words is "one trillion, seven billion, thirty-three million, six hundred seventy-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 1237 2474 3711 4948 7422 9896 14844 29688 33920563 67841126 101761689 135682252 203523378 271364504 407046756 814093512 41959736431 83919472862 125879209293 167838945724 251758418586 335677891448 503516837172 1007033674344