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34425759244208 = 24172936311201961
BaseRepresentation
bin1111101001111010111110…
…01001101001111110110000
311111220001220100112000110212
413310331133021221332300
514003012423331303313
6201114550411243252
710152115256304563
oct764753711517660
9144801810460425
1034425759244208
11aa729786854a2
123a3bb39149528
131629448492847
148703039d24da
153ea75dd263a8
hex1f4f5f269fb0

34425759244208 has 80 divisors (see below), whose sum is σ = 73078904972160. Its totient is φ = 15637403443200.

The previous prime is 34425759244199. The next prime is 34425759244211. The reversal of 34425759244208 is 80244295752443.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28040348 + ... + 29242308.

It is an arithmetic number, because the mean of its divisors is an integer number (913486312152).

Almost surely, 234425759244208 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 34425759244208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36539452486080).

34425759244208 is an abundant number, since it is smaller than the sum of its proper divisors (38653145727952).

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

34425759244208 is a wasteful number, since it uses less digits than its factorization.

34425759244208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205646 (or 1205640 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 59.

The spelling of 34425759244208 in words is "thirty-four trillion, four hundred twenty-five billion, seven hundred fifty-nine million, two hundred forty-four thousand, two hundred eight".

Divisors: 1 2 4 8 16 17 29 34 58 68 116 136 232 272 464 493 986 1972 3631 3944 7262 7888 14524 29048 58096 61727 105299 123454 210598 246908 421196 493816 842392 987632 1201961 1684784 1790083 2403922 3580166 4807844 7160332 9615688 14320664 19231376 20433337 28641328 34856869 40866674 69713738 81733348 139427476 163466696 278854952 326933392 557709904 592566773 1185133546 2370267092 4364320391 4740534184 8728640782 9481068368 17457281564 34914563128 69829126256 74193446647 126565291339 148386893294 253130582678 296773786588 506261165356 593547573176 1012522330712 1187095146352 2025044661424 2151609952763 4303219905526 8606439811052 17212879622104 34425759244208