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61918030980 = 223251326460697
BaseRepresentation
bin111001101010100110…
…100010110010000100
312220211011200212121200
4321222212202302010
52003302003442410
644240022142500
74321246402521
oct715246426204
9186734625550
1061918030980
1124294129133
1210000281a30
135ab9c34b70
142dd54d2148
151925d233c0
hexe6a9a2c84

61918030980 has 72 divisors (see below), whose sum is σ = 202265575512. Its totient is φ = 15241360896.

The previous prime is 61918030939. The next prime is 61918030981. The reversal of 61918030980 is 8903081916.

61918030980 is a `hidden beast` number, since 6 + 191 + 80 + 309 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1896950916 + 60021080064 = 43554^2 + 244992^2 .

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

It is not an unprimeable number, because it can be changed into a prime (61918030981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13228009 + ... + 13232688.

Almost surely, 261918030980 is an apocalyptic number.

61918030980 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61918030980 is an abundant number, since it is smaller than the sum of its proper divisors (140347544532).

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

61918030980 is a wasteful number, since it uses less digits than its factorization.

61918030980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26460725 (or 26460720 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 61918030980 in words is "sixty-one billion, nine hundred eighteen million, thirty thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 26460697 52921394 79382091 105842788 132303485 158764182 238146273 264606970 317528364 343989061 396910455 476292546 529213940 687978122 793820910 952585092 1031967183 1190731365 1375956244 1587641820 1719945305 2063934366 2381462730 3095901549 3439890610 4127868732 4762925460 5159835915 6191803098 6879781220 10319671830 12383606196 15479507745 20639343660 30959015490 61918030980