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61238849040 = 2433543659333
BaseRepresentation
bin111001000010000111…
…101010111000010000
312212001211200212011000
4321002013222320100
52000404121132130
644044401022000
74265361425325
oct710207527020
9185054625130
1061238849040
1123a75808746
12ba50924900
135a0c304365
142d6d216b4c
1518d63b4260
hexe421eae10

61238849040 has 160 divisors (see below), whose sum is σ = 215839578240. Its totient is φ = 15950559744.

The previous prime is 61238849003. The next prime is 61238849069. The reversal of 61238849040 is 4094883216.

It is a happy number.

61238849040 is a `hidden beast` number, since 61 + 23 + 88 + 490 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236787 + ... + 422546.

It is an arithmetic number, because the mean of its divisors is an integer number (1348997364).

Almost surely, 261238849040 is an apocalyptic number.

61238849040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61238849040 is an abundant number, since it is smaller than the sum of its proper divisors (154600729200).

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

61238849040 is a wasteful number, since it uses less digits than its factorization.

61238849040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659398 (or 659386 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 61238849040 in words is "sixty-one billion, two hundred thirty-eight million, eight hundred forty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 43 45 48 54 60 72 80 86 90 108 120 129 135 144 172 180 215 216 240 258 270 344 360 387 430 432 516 540 645 688 720 774 860 1032 1080 1161 1290 1548 1720 1935 2064 2160 2322 2580 3096 3440 3870 4644 5160 5805 6192 7740 9288 10320 11610 15480 18576 23220 30960 46440 92880 659333 1318666 1977999 2637332 3296665 3955998 5274664 5933997 6593330 7911996 9889995 10549328 11867994 13186660 15823992 17801991 19779990 23735988 26373320 28351319 29669985 31647984 35603982 39559980 47471976 52746640 56702638 59339970 71207964 79119960 85053957 89009955 94943952 113405276 118679940 141756595 142415928 158239920 170107914 178019910 226810552 237359880 255161871 283513190 284831856 340215828 356039820 425269785 453621104 474719760 510323742 567026380 680431656 712079640 765485613 850539570 1020647484 1134052760 1275809355 1360863312 1424159280 1530971226 1701079140 2041294968 2268105520 2551618710 3061942452 3402158280 3827428065 4082589936 5103237420 6123884904 6804316560 7654856130 10206474840 12247769808 15309712260 20412949680 30619424520 61238849040