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84834620520 = 233513160133967
BaseRepresentation
bin100111100000010001…
…0011001010001101000
322002222021022020120020
41033000202121101220
52342220130324040
6102550020200440
76062165243106
oct1170042312150
9262867266506
1084834620520
1132a83a28031
1214536b39120
137ccc93b510
14416acaac76
152317b58cd0
hex13c0899468

84834620520 has 128 divisors (see below), whose sum is σ = 274260349440. Its totient is φ = 20868710400.

The previous prime is 84834620509. The next prime is 84834620527. The reversal of 84834620520 is 2502643848.

It is not an unprimeable number, because it can be changed into a prime (84834620527) 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, 2480577 + ... + 2514543.

It is an arithmetic number, because the mean of its divisors is an integer number (2142658980).

Almost surely, 284834620520 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 84834620520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137130174720).

84834620520 is an abundant number, since it is smaller than the sum of its proper divisors (189425728920).

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

84834620520 is a wasteful number, since it uses less digits than its factorization.

84834620520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35595 (or 35591 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 84834620520 in words is "eighty-four billion, eight hundred thirty-four million, six hundred twenty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 1601 3202 4803 6404 8005 9606 12808 16010 19212 20813 24015 32020 33967 38424 41626 48030 62439 64040 67934 83252 96060 101901 104065 124878 135868 166504 169835 192120 203802 208130 249756 271736 312195 339670 407604 416260 441571 499512 509505 624390 679340 815208 832520 883142 1019010 1248780 1324713 1358680 1766284 2038020 2207855 2497560 2649426 3532568 4076040 4415710 5298852 6623565 8831420 10597704 13247130 17662840 26494260 52988520 54381167 108762334 163143501 217524668 271905835 326287002 435049336 543811670 652574004 706955171 815717505 1087623340 1305148008 1413910342 1631435010 2120865513 2175246680 2827820684 3262870020 3534775855 4241731026 5655641368 6525740040 7069551710 8483462052 10604327565 14139103420 16966924104 21208655130 28278206840 42417310260 84834620520