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61715100072 = 23361151279173
BaseRepresentation
bin111001011110100000…
…011011000110101000
312220022000211220202010
4321132200123012220
52002343031200242
644203532435520
74313233460313
oct713640330650
9186260756663
1061715100072
112419a62413a
12bb64318ba0
135a86b927c2
142db658997a
1519130da89c
hexe5e81b1a8

61715100072 has 64 divisors (see below), whose sum is σ = 157856146560. Its totient is φ = 20100384000.

The previous prime is 61715100067. The next prime is 61715100079. The reversal of 61715100072 is 27000151716.

It is not an unprimeable number, because it can be changed into a prime (61715100079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81478 + ... + 360650.

It is an arithmetic number, because the mean of its divisors is an integer number (2466502290).

Almost surely, 261715100072 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 61715100072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78928073280).

61715100072 is an abundant number, since it is smaller than the sum of its proper divisors (96141046488).

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

61715100072 is a wasteful number, since it uses less digits than its factorization.

61715100072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279394 (or 279390 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 30.

Adding to 61715100072 its reverse (27000151716), we get a palindrome (88715251788).

The spelling of 61715100072 in words is "sixty-one billion, seven hundred fifteen million, one hundred thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 61 122 151 183 244 302 366 453 488 604 732 906 1208 1464 1812 3624 9211 18422 27633 36844 55266 73688 110532 221064 279173 558346 837519 1116692 1675038 2233384 3350076 6700152 17029553 34059106 42155123 51088659 68118212 84310246 102177318 126465369 136236424 168620492 204354636 252930738 337240984 408709272 505861476 1011722952 2571462503 5142925006 7714387509 10285850012 15428775018 20571700024 30857550036 61715100072