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75007083834 = 23317233796013
BaseRepresentation
bin100010111011011000…
…1010100010100111010
321011121101001122122000
41011312301110110322
52212103303140314
654242514041430
75263513456464
oct1056661242472
9234541048560
1075007083834
11298a05a8291
1212653879276
1370c48b6657
1438b79dd134
151e3eeb6209
hex1176c5453a

75007083834 has 128 divisors (see below), whose sum is σ = 189139898880. Its totient is φ = 21899953152.

The previous prime is 75007083791. The next prime is 75007083889. The reversal of 75007083834 is 43838070057.

It is a self number, because there is not a number n which added to its sum of digits gives 75007083834.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 733212 + ... + 829224.

It is an arithmetic number, because the mean of its divisors is an integer number (1477655460).

Almost surely, 275007083834 is an apocalyptic number.

75007083834 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 75007083834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94569949440).

75007083834 is an abundant number, since it is smaller than the sum of its proper divisors (114132815046).

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

75007083834 is a wasteful number, since it uses less digits than its factorization.

75007083834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96101 (or 96095 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 75007083834 in words is "seventy-five billion, seven million, eighty-three thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 23 27 34 37 46 51 54 69 74 102 111 138 153 207 222 306 333 391 414 459 621 629 666 782 851 918 999 1173 1242 1258 1702 1887 1998 2346 2553 3519 3774 5106 5661 7038 7659 10557 11322 14467 15318 16983 21114 22977 28934 33966 43401 45954 86802 96013 130203 192026 260406 288039 390609 576078 781218 864117 1632221 1728234 2208299 2592351 3264442 3552481 4416598 4896663 5184702 6624897 7104962 9793326 10657443 13249794 14689989 19874691 21314886 29379978 31972329 37541083 39749382 44069967 59624073 60392177 63944658 75082166 81707063 88139934 95916987 112623249 119248146 120784354 163414126 181176531 191833974 225246498 245121189 337869747 362353062 490242378 543529593 675739494 735363567 1013609241 1087059186 1389020071 1470727134 1630588779 2027218482 2206090701 2778040142 3261177558 4167060213 4412181402 8334120426 12501180639 25002361278 37503541917 75007083834