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83146780398 = 231147107397631
BaseRepresentation
bin100110101101111101…
…1110010111011101110
321221121122100002012010
41031123323302323232
52330241033433043
6102110324022050
76002311654323
oct1153373627356
9257548302163
1083146780398
113229820a840
1214145831926
137ac105b956
14404aa6cb4a
1522698a8133
hex135bef2eee

83146780398 has 128 divisors (see below), whose sum is σ = 187770617856. Its totient is φ = 24329289600.

The previous prime is 83146780331. The next prime is 83146780399. The reversal of 83146780398 is 89308764138.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83146780399) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131769543 + ... + 131770173.

It is an arithmetic number, because the mean of its divisors is an integer number (1466957952).

Almost surely, 283146780398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83146780398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93885308928).

83146780398 is an abundant number, since it is smaller than the sum of its proper divisors (104623837458).

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

83146780398 is a wasteful number, since it uses less digits than its factorization.

83146780398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198.

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 83146780398 in words is "eighty-three billion, one hundred forty-six million, seven hundred eighty thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 11 22 33 47 66 94 107 141 214 282 321 397 517 631 642 794 1034 1177 1191 1262 1551 1893 2354 2382 3102 3531 3786 4367 5029 6941 7062 8734 10058 13101 13882 15087 18659 20823 26202 29657 30174 37318 41646 42479 55319 55977 59314 67517 84958 88971 110638 111954 127437 135034 165957 177942 202551 205249 250507 254874 326227 331914 405102 410498 467269 501014 615747 652454 742687 751521 934538 978681 1231494 1401807 1485374 1503042 1957362 1996513 2228061 2755577 2803614 3173299 3993026 4456122 5511154 5989539 6346598 8266731 9519897 11773829 11979078 16533462 19039794 21961643 23547658 26804249 34906289 35321487 43923286 53608498 65884929 69812578 70642974 80412747 104718867 129512119 131769858 160825494 209437734 259024238 294846739 388536357 589693478 777072714 884540217 1259799703 1769080434 2519599406 3779399109 7558798218 13857796733 27715593466 41573390199 83146780398