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71435379480 = 23353182323333
BaseRepresentation
bin100001010000111100…
…0010110001100011000
320211101110021021100120
41002201320112030120
52132244424120410
652452244033240
75106143464323
oct1024170261430
9224343237316
1071435379480
1128328455a03
1211a17692820
13697593281a
1436594d77ba
151cd1643570
hex10a1e16318

71435379480 has 128 divisors (see below), whose sum is σ = 221497528320. Its totient is φ = 18411747840.

The previous prime is 71435379479. The next prime is 71435379503. The reversal of 71435379480 is 8497353417.

It is a happy number.

It is a congruent number.

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, 3049894 + ... + 3073226.

It is an arithmetic number, because the mean of its divisors is an integer number (1730449440).

Almost surely, 271435379480 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 71435379480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110748764160).

71435379480 is an abundant number, since it is smaller than the sum of its proper divisors (150062148840).

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

71435379480 is a wasteful number, since it uses less digits than its factorization.

71435379480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24201 (or 24197 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 71435379480 in words is "seventy-one billion, four hundred thirty-five million, three hundred seventy-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 823 930 1240 1646 1860 2469 3292 3720 4115 4938 6584 8230 9876 12345 16460 19752 23333 24690 25513 32920 46666 49380 51026 69999 76539 93332 98760 102052 116665 127565 139998 153078 186664 204104 233330 255130 279996 306156 349995 382695 466660 510260 559992 612312 699990 723323 765390 933320 1020520 1399980 1446646 1530780 2169969 2799960 2893292 3061560 3616615 4339938 5786584 7233230 8679876 10849845 14466460 17359752 19203059 21699690 28932920 38406118 43399380 57609177 76812236 86798760 96015295 115218354 153624472 192030590 230436708 288045885 384061180 460873416 576091770 595294829 768122360 1152183540 1190589658 1785884487 2304367080 2381179316 2976474145 3571768974 4762358632 5952948290 7143537948 8929422435 11905896580 14287075896 17858844870 23811793160 35717689740 71435379480