Search a number
-
+
71290771104 = 25372137110623
BaseRepresentation
bin100001001100101000…
…0101101011010100000
320211000101011101221210
41002121100231122200
52132000414133404
652430040350120
75102436361500
oct1023120553240
9224011141853
1071290771104
1128263866553
1211997175340
1369519a0a37
143644213a00
151cc3acb689
hex109942d6a0

71290771104 has 144 divisors (see below), whose sum is σ = 219282432768. Its totient is φ = 20219931648.

The previous prime is 71290771103. The next prime is 71290771151. The reversal of 71290771104 is 40117709217.

It is not an unprimeable number, because it can be changed into a prime (71290771103) 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, 589137 + ... + 699759.

It is an arithmetic number, because the mean of its divisors is an integer number (1522794672).

Almost surely, 271290771104 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 71290771104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109641216384).

71290771104 is an abundant number, since it is smaller than the sum of its proper divisors (147991661664).

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

71290771104 is a wasteful number, since it uses less digits than its factorization.

71290771104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110787 (or 110772 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 39.

The spelling of 71290771104 in words is "seventy-one billion, two hundred ninety million, seven hundred seventy-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 137 147 168 196 224 274 294 336 392 411 548 588 672 784 822 959 1096 1176 1568 1644 1918 2192 2352 2877 3288 3836 4384 4704 5754 6576 6713 7672 11508 13152 13426 15344 20139 23016 26852 30688 40278 46032 53704 80556 92064 107408 110623 161112 214816 221246 322224 331869 442492 644448 663738 774361 884984 1327476 1548722 1769968 2323083 2654952 3097444 3539936 4646166 5309904 5420527 6194888 9292332 10619808 10841054 12389776 15155351 16261581 18584664 21682108 24779552 30310702 32523162 37169328 43364216 45466053 60621404 65046324 74338656 86728432 90932106 106087457 121242808 130092648 173456864 181864212 212174914 242485616 260185296 318262371 363728424 424349828 484971232 520370592 636524742 727456848 742612199 848699656 1273049484 1454913696 1485224398 1697399312 2227836597 2546098968 2970448796 3394798624 4455673194 5092197936 5940897592 8911346388 10184395872 11881795184 17822692776 23763590368 35645385552 71290771104