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76975361064 = 233272139156967
BaseRepresentation
bin100011110110000010…
…1101100110000101000
321100200112201111101200
41013230011230300220
52230121143023224
655210105044200
75363343526200
oct1075405546050
9240615644350
1076975361064
112a710648088
1212b02a86660
137349604834
143a2319b400
152007bae5c9
hex11ec16cc28

76975361064 has 144 divisors (see below), whose sum is σ = 244257904800. Its totient is φ = 21834598464.

The previous prime is 76975361027. The next prime is 76975361107. The reversal of 76975361064 is 46016357967.

It is a happy number.

76975361064 is a `hidden beast` number, since 7 + 6 + 97 + 536 + 10 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 76975361064.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 411909 + ... + 568875.

It is an arithmetic number, because the mean of its divisors is an integer number (1696235450).

Almost surely, 276975361064 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 76975361064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122128952400).

76975361064 is an abundant number, since it is smaller than the sum of its proper divisors (167282543736).

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

76975361064 is a wasteful number, since it uses less digits than its factorization.

76975361064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157132 (or 157118 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 76975361064 in words is "seventy-six billion, nine hundred seventy-five million, three hundred sixty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 139 147 168 196 252 278 294 392 417 441 504 556 588 834 882 973 1112 1176 1251 1668 1764 1946 2502 2919 3336 3528 3892 5004 5838 6811 7784 8757 10008 11676 13622 17514 20433 23352 27244 35028 40866 54488 61299 70056 81732 122598 156967 163464 245196 313934 470901 490392 627868 941802 1098769 1255736 1412703 1883604 2197538 2825406 3296307 3767208 4395076 5650812 6592614 7691383 8790152 9888921 11301624 13185228 15382766 19777842 21818413 23074149 26370456 30765532 39555684 43636826 46148298 61531064 65455239 69222447 79111368 87273652 92296596 130910478 138444894 152728891 174547304 184593192 196365717 261820956 276889788 305457782 392731434 458186673 523641912 553779576 610915564 785462868 916373346 1069102237 1221831128 1374560019 1570925736 1832746692 2138204474 2749120038 3207306711 3665493384 4276408948 5498240076 6414613422 8552817896 9621920133 10996480152 12829226844 19243840266 25658453688 38487680532 76975361064