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84977620040 = 2352999773477
BaseRepresentation
bin100111100100100001…
…1111001010001001000
322010100020101101000202
41033021003321101020
52343013232320130
6103012125151332
76065552565245
oct1171103712110
9263306341022
1084977620040
1133047718755
12145769bb548
138023458c11
144181c925cc
1523254a4145
hex13c90f9448

84977620040 has 64 divisors (see below), whose sum is σ = 197993818800. Its totient is φ = 32785579008.

The previous prime is 84977619989. The next prime is 84977620067. The reversal of 84977620040 is 4002677948.

It can be written as a sum of positive squares in 8 ways, for example, as 78840777796 + 6136842244 = 280786^2 + 78338^2 .

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, 1119782 + ... + 1193258.

Almost surely, 284977620040 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 84977620040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98996909400).

84977620040 is an abundant number, since it is smaller than the sum of its proper divisors (113016198760).

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

84977620040 is a wasteful number, since it uses less digits than its factorization.

84977620040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74514 (or 74510 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 47.

The spelling of 84977620040 in words is "eighty-four billion, nine hundred seventy-seven million, six hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 997 1160 1994 3988 4985 7976 9970 19940 28913 39880 57826 73477 115652 144565 146954 231304 289130 293908 367385 578260 587816 734770 1156520 1469540 2130833 2939080 4261666 8523332 10654165 17046664 21308330 42616660 73256569 85233320 146513138 293026276 366282845 586052552 732565690 1465131380 2124440501 2930262760 4248881002 8497762004 10622202505 16995524008 21244405010 42488810020 84977620040