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61362147520 = 2652413472293
BaseRepresentation
bin111001001001011110…
…000001000011000000
312212101102201001212101
4321021132001003000
52001132202210040
644104523440144
74301416435162
oct711136010300
9185342631771
1061362147520
1124029372713
12ba86086054
135a2ba1473b
142d81750932
1518e211c09a
hexe497810c0

61362147520 has 112 divisors (see below), whose sum is σ = 147211926048. Its totient is φ = 24361943040.

The previous prime is 61362147467. The next prime is 61362147521. The reversal of 61362147520 is 2574126316.

It is a self number, because there is not a number n which added to its sum of digits gives 61362147520.

It is not an unprimeable number, because it can be changed into a prime (61362147521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26759494 + ... + 26761786.

Almost surely, 261362147520 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 61362147520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73605963024).

61362147520 is an abundant number, since it is smaller than the sum of its proper divisors (85849778528).

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

61362147520 is a wasteful number, since it uses less digits than its factorization.

61362147520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2898 (or 2888 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 61362147520 in words is "sixty-one billion, three hundred sixty-two million, one hundred forty-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 241 320 347 482 694 964 1205 1388 1735 1928 2293 2410 2776 3470 3856 4586 4820 5552 6940 7712 9172 9640 11104 11465 13880 15424 18344 19280 22208 22930 27760 36688 38560 45860 55520 73376 77120 83627 91720 111040 146752 167254 183440 334508 366880 418135 552613 669016 733760 795671 836270 1105226 1338032 1591342 1672540 2210452 2676064 2763065 3182684 3345080 3978355 4420904 5352128 5526130 6365368 6690160 7956710 8841808 11052260 12730736 13380320 15913420 17683616 22104520 25461472 26760640 31826840 35367232 44209040 50922944 63653680 88418080 127307360 176836160 191756711 254614720 383513422 767026844 958783555 1534053688 1917567110 3068107376 3835134220 6136214752 7670268440 12272429504 15340536880 30681073760 61362147520