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71693811048 = 23353834211613
BaseRepresentation
bin100001011000101001…
…0001011110101101000
320212001110112221211010
41002301102023311220
52133312103423143
652534035103520
75115432224166
oct1026122136550
9225043487733
1071693811048
1128450318412
1211a8a141ba0
1369b7337c02
14368196a236
151ce9190a33
hex10b148bd68

71693811048 has 128 divisors (see below), whose sum is σ = 185370353280. Its totient is φ = 23095188480.

The previous prime is 71693810977. The next prime is 71693811061. The reversal of 71693811048 is 84011839617.

It is a Cunningham number, because it is equal to 2677572-1.

It is a super-3 number, since 3×716938110483 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 71693810988 and 71693811006.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44446690 + ... + 44448302.

It is an arithmetic number, because the mean of its divisors is an integer number (1448205885).

Almost surely, 271693811048 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 71693811048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92685176640).

71693811048 is an abundant number, since it is smaller than the sum of its proper divisors (113676542232).

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

71693811048 is a wasteful number, since it uses less digits than its factorization.

71693811048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The spelling of 71693811048 in words is "seventy-one billion, six hundred ninety-three million, eight hundred eleven thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 24 53 83 106 159 166 212 249 318 332 421 424 498 636 664 842 996 1263 1272 1613 1684 1992 2526 3226 3368 4399 4839 5052 6452 8798 9678 10104 12904 13197 17596 19356 22313 26394 34943 35192 38712 44626 52788 66939 69886 85489 89252 104829 105576 133878 133879 139772 170978 178504 209658 256467 267756 267758 279544 341956 401637 419316 512934 535512 535516 679073 683912 803274 838632 1025868 1071032 1358146 1606548 1851979 2037219 2051736 2716292 3213096 3703958 4074438 5432584 5555937 7095587 7407916 8148876 11111874 14191174 14815832 16297752 21286761 22223748 28382348 35990869 42573522 44447496 56363059 56764696 71981738 85147044 107972607 112726118 143963476 169089177 170294088 215945214 225452236 287926952 338178354 431890428 450904472 676356708 863780856 1352713416 2987242127 5974484254 8961726381 11948968508 17923452762 23897937016 35846905524 71693811048