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55723620640 = 2552915776493
BaseRepresentation
bin110011111001011000…
…101111100100100000
312022211110211020002111
4303321120233210200
51403110221330030
641333222325104
74011611650252
oct637130574440
9168743736074
1055723620640
11216a5592a46
12a971889794
1353407bb0bc
1429a8957cd2
1516b20d762a
hexcf962f920

55723620640 has 96 divisors (see below), whose sum is σ = 137055829680. Its totient is φ = 21383491584.

The previous prime is 55723620583. The next prime is 55723620649. The reversal of 55723620640 is 4602632755.

55723620640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 8636356624 + 47087264016 = 92932^2 + 216996^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 55723620593 and 55723620602.

It is not an unprimeable number, because it can be changed into a prime (55723620649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 690234 + ... + 766726.

Almost surely, 255723620640 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 55723620640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68527914840).

55723620640 is an abundant number, since it is smaller than the sum of its proper divisors (81332209040).

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

55723620640 is a wasteful number, since it uses less digits than its factorization.

55723620640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76694 (or 76686 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 40.

The spelling of 55723620640 in words is "fifty-five billion, seven hundred twenty-three million, six hundred twenty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 157 160 232 290 314 464 580 628 785 928 1160 1256 1570 2320 2512 3140 4553 4640 5024 6280 9106 12560 18212 22765 25120 36424 45530 72848 76493 91060 145696 152986 182120 305972 364240 382465 611944 728480 764930 1223888 1529860 2218297 2447776 3059720 4436594 6119440 8873188 11091485 12009401 12238880 17746376 22182970 24018802 35492752 44365940 48037604 60047005 70985504 88731880 96075208 120094010 177463760 192150416 240188020 348272629 354927520 384300832 480376040 696545258 960752080 1393090516 1741363145 1921504160 2786181032 3482726290 5572362064 6965452580 11144724128 13930905160 27861810320 55723620640