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70932993048 = 233223257166669
BaseRepresentation
bin100001000001111101…
…1111001010000011000
320210002102221101201200
41002003323321100120
52130232321234143
652330340114200
75060533331001
oct1020373712030
9223072841650
1070932993048
112809a909605
12118b7395960
1368c5823448
14360c8c01a8
151ca24a81d3
hex1083ef9418

70932993048 has 96 divisors (see below), whose sum is σ = 201244024800. Its totient is φ = 22528180224.

The previous prime is 70932992957. The next prime is 70932993137. The reversal of 70932993048 is 84039923907.

70932993048 is a `hidden beast` number, since 7 + 0 + 9 + 329 + 9 + 304 + 8 = 666.

It is a super-4 number, since 4×709329930484 (a number of 45 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 70932992985 and 70932993003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 342258 + ... + 508926.

It is an arithmetic number, because the mean of its divisors is an integer number (2096291925).

Almost surely, 270932993048 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 70932993048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100622012400).

70932993048 is an abundant number, since it is smaller than the sum of its proper divisors (130311031752).

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

70932993048 is a wasteful number, since it uses less digits than its factorization.

70932993048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166961 (or 166954 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 70932993048 in words is "seventy billion, nine hundred thirty-two million, nine hundred ninety-three thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 257 276 414 514 552 771 828 1028 1542 1656 2056 2313 3084 4626 5911 6168 9252 11822 17733 18504 23644 35466 47288 53199 70932 106398 141864 166669 212796 333338 425592 500007 666676 1000014 1333352 1500021 2000028 3000042 3833387 4000056 6000084 7666774 11500161 12000168 15333548 23000322 30667096 34500483 42833933 46000644 69000966 85667866 92001288 128501799 138001932 171335732 257003598 276003864 342671464 385505397 514007196 771010794 985180459 1028014392 1542021588 1970360918 2955541377 3084043176 3940721836 5911082754 7881443672 8866624131 11822165508 17733248262 23644331016 35466496524 70932993048