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71607070064 = 2417417387959
BaseRepresentation
bin100001010110000011…
…1010010110101110000
320211211102100001120002
41002230013102311300
52133122402220224
652521300005132
75113330024055
oct1025407226560
9224742301502
1071607070064
1128406362652
1211a650907a8
1369a238749a
14367422b02c
151ce17599ae
hex10ac1d2d70

71607070064 has 80 divisors (see below), whose sum is σ = 152545861440. Its totient is φ = 32424837120.

The previous prime is 71607070063. The next prime is 71607070091. The reversal of 71607070064 is 46007070617.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71607070061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 770117 + ... + 858075.

It is an arithmetic number, because the mean of its divisors is an integer number (1906823268).

Almost surely, 271607070064 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 71607070064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76272930720).

71607070064 is an abundant number, since it is smaller than the sum of its proper divisors (80938791376).

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

71607070064 is a wasteful number, since it uses less digits than its factorization.

71607070064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88098 (or 88092 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 38.

The spelling of 71607070064 in words is "seventy-one billion, six hundred seven million, seventy thousand, sixty-four".

Divisors: 1 2 4 8 16 17 34 41 68 73 82 136 146 164 272 292 328 584 656 697 1168 1241 1394 2482 2788 2993 4964 5576 5986 9928 11152 11972 19856 23944 47888 50881 87959 101762 175918 203524 351836 407048 703672 814096 1407344 1495303 2990606 3606319 5981212 6421007 7212638 11962424 12842014 14425276 23924848 25684028 28850552 51368056 57701104 61307423 102736112 109157119 122614846 218314238 245229692 263261287 436628476 490459384 526522574 873256952 980918768 1053045148 1746513904 2106090296 4212180592 4475441879 8950883758 17901767516 35803535032 71607070064