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71601162752 = 29734575779
BaseRepresentation
bin100001010101111000…
…0110000101000000000
320211211000012221020202
41002223300300220000
52133114344202002
652520525224332
75113225561430
oct1025360605000
9224730187222
1071601162752
1128402a98379
1211a631020a8
1369a1099732
1436735302c0
151ce0e8e502
hex10abc30a00

71601162752 has 80 divisors (see below), whose sum is σ = 163575572160. Its totient is φ = 30672027648.

The previous prime is 71601162739. The next prime is 71601162779. The reversal of 71601162752 is 25726110617.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12386999 + ... + 12392777.

It is an arithmetic number, because the mean of its divisors is an integer number (2044694652).

Almost surely, 271601162752 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 71601162752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81787786080).

71601162752 is an abundant number, since it is smaller than the sum of its proper divisors (91974409408).

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

71601162752 is an equidigital number, since it uses as much as digits as its factorization.

71601162752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9261 (or 9245 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 38.

The spelling of 71601162752 in words is "seventy-one billion, six hundred one million, one hundred sixty-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1792 3457 3584 5779 6914 11558 13828 23116 24199 27656 40453 46232 48398 55312 80906 92464 96796 110624 161812 184928 193592 221248 323624 369856 387184 442496 647248 739712 774368 884992 1294496 1479424 1548736 1769984 2588992 2958848 3097472 5177984 6194944 10355968 12389888 19978003 20711936 39956006 79912012 139846021 159824024 279692042 319648048 559384084 639296096 1118768168 1278592192 2237536336 2557184384 4475072672 5114368768 8950145344 10228737536 17900290688 35800581376 71601162752