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83788046220 = 2235792223757
BaseRepresentation
bin100111000001000101…
…0000001111110001100
322000021022222202112010
41032002022001332030
52333044214434340
6102254112341220
76024226433064
oct1160212017614
9260238882463
1083788046220
113259719329a
12142a4544810
137b93b75298
1440abcb83a4
1522a5d27b80
hex1382281f8c

83788046220 has 72 divisors (see below), whose sum is σ = 237614885424. Its totient is φ = 22060551552.

The previous prime is 83788046219. The next prime is 83788046233. The reversal of 83788046220 is 2264088738.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 83788046220.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262582 + ... + 486338.

It is an arithmetic number, because the mean of its divisors is an integer number (3300206742).

Almost surely, 283788046220 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 83788046220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118807442712).

83788046220 is an abundant number, since it is smaller than the sum of its proper divisors (153826839204).

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

83788046220 is a wasteful number, since it uses less digits than its factorization.

83788046220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223927 (or 223846 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 83788046220 in words is "eighty-three billion, seven hundred eighty-eight million, forty-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 790 948 1185 1580 2370 4740 6241 12482 18723 24964 31205 37446 62410 74892 93615 124820 187230 223757 374460 447514 671271 895028 1118785 1342542 2237570 2685084 3356355 4475140 6712710 13425420 17676803 35353606 53030409 70707212 88384015 106060818 176768030 212121636 265152045 353536060 530304090 1060608180 1396467437 2792934874 4189402311 5585869748 6982337185 8378804622 13964674370 16757609244 20947011555 27929348740 41894023110 83788046220