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61312507050 = 235216322711047
BaseRepresentation
bin111001000110100000…
…101001110010101010
312212020222022001221110
4321012200221302222
52001032000211200
644055551451150
74300244465604
oct710640516252
9185228261843
1061312507050
1124003348033
12ba71526ab6
135a21653b92
142d78d0c174
1518dcab3b50
hexe46829caa

61312507050 has 96 divisors (see below), whose sum is σ = 153675735552. Its totient is φ = 16176646080.

The previous prime is 61312507019. The next prime is 61312507057. The reversal of 61312507050 is 5070521316.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 61312506999 and 61312507017.

It is not an unprimeable number, because it can be changed into a prime (61312507057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5544627 + ... + 5555673.

It is an arithmetic number, because the mean of its divisors is an integer number (1600788912).

Almost surely, 261312507050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61312507050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76837867776).

61312507050 is an abundant number, since it is smaller than the sum of its proper divisors (92363228502).

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

61312507050 is a wasteful number, since it uses less digits than its factorization.

61312507050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11452 (or 11447 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The spelling of 61312507050 in words is "sixty-one billion, three hundred twelve million, five hundred seven thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 163 227 326 454 489 681 815 978 1135 1362 1630 2270 2445 3405 4075 4890 5675 6810 8150 11047 11350 12225 17025 22094 24450 33141 34050 37001 55235 66282 74002 110470 111003 165705 185005 222006 276175 331410 370010 552350 555015 828525 925025 1110030 1657050 1800661 1850050 2507669 2775075 3601322 5015338 5401983 5550150 7523007 9003305 10803966 12538345 15046014 18006610 25076690 27009915 37615035 45016525 54019830 62691725 75230070 90033050 125383450 135049575 188075175 270099150 376150350 408750047 817500094 1226250141 2043750235 2452500282 4087500470 6131250705 10218751175 12262501410 20437502350 30656253525 61312507050