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134322849648 = 243213701102359
BaseRepresentation
bin111110100011001000…
…1000000011101110000
3110211201012010202112100
41331012101000131300
54200043122142043
6141412420500400
712463434245361
oct1750621003560
9424635122470
10134322849648
1151a69824049
122204854a700
13c888664530
14670365db68
15376260ccd3
hex1f46440770

134322849648 has 120 divisors (see below), whose sum is σ = 405415614240. Its totient is φ = 41270745600.

The previous prime is 134322849641. The next prime is 134322849667. The reversal of 134322849648 is 846948223431.

It is a happy number.

134322849648 is a `hidden beast` number, since 1 + 3 + 432 + 2 + 84 + 96 + 48 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 134322849594 and 134322849603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134322849641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1261093 + ... + 1363451.

It is an arithmetic number, because the mean of its divisors is an integer number (3378463452).

Almost surely, 2134322849648 is an apocalyptic number.

134322849648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134322849648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202707807120).

134322849648 is an abundant number, since it is smaller than the sum of its proper divisors (271092764592).

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

134322849648 is a wasteful number, since it uses less digits than its factorization.

134322849648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103087 (or 103078 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 134322849648 in words is "one hundred thirty-four billion, three hundred twenty-two million, eight hundred forty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 701 936 1402 1872 2103 2804 4206 5608 6309 8412 9113 11216 12618 16824 18226 25236 27339 33648 36452 50472 54678 72904 82017 100944 102359 109356 145808 164034 204718 218712 307077 328068 409436 437424 614154 656136 818872 921231 1228308 1312272 1330667 1637744 1842462 2456616 2661334 3684924 3992001 4913232 5322668 7369848 7984002 10645336 11976003 14739696 15968004 21290672 23952006 31936008 47904012 63872016 71753659 95808024 143507318 191616048 215260977 287014636 430521954 574029272 645782931 861043908 932797567 1148058544 1291565862 1722087816 1865595134 2583131724 2798392701 3444175632 3731190268 5166263448 5596785402 7462380536 8395178103 10332526896 11193570804 14924761072 16790356206 22387141608 33580712412 44774283216 67161424824 134322849648