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82429074030 = 23543613104239
BaseRepresentation
bin100110011000100100…
…1111101101001101110
321212202121211211010210
41030301021331221232
52322303320332110
6101511205043250
75645445366042
oct1146111755156
9255677754123
1082429074030
1131a5a077386
1213b853b6526
137a08460124
143dbd606022
152226889520
hex133127da6e

82429074030 has 64 divisors (see below), whose sum is σ = 202762644480. Its totient is φ = 21434668416.

The previous prime is 82429073977. The next prime is 82429074031. The reversal of 82429074030 is 3047092428.

It is a self number, because there is not a number n which added to its sum of digits gives 82429074030.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82429074031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 738651 + ... + 842889.

It is an arithmetic number, because the mean of its divisors is an integer number (3168166320).

Almost surely, 282429074030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82429074030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101381322240).

82429074030 is an abundant number, since it is smaller than the sum of its proper divisors (120333570450).

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

82429074030 is a wasteful number, since it uses less digits than its factorization.

82429074030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104905.

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 82429074030 in words is "eighty-two billion, four hundred twenty-nine million, seventy-four thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 430 613 645 1226 1290 1839 3065 3678 6130 9195 18390 26359 52718 79077 104239 131795 158154 208478 263590 312717 395385 521195 625434 790770 1042390 1563585 3127170 4482277 8964554 13446831 22411385 26893662 44822770 63898507 67234155 127797014 134468310 191695521 319492535 383391042 638985070 958477605 1916955210 2747635801 5495271602 8242907403 13738179005 16485814806 27476358010 41214537015 82429074030