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134265020616 = 233223197411563
BaseRepresentation
bin111110100001011010…
…0011010000011001000
3110211120011022202000100
41331002310122003020
54144433321124431
6141402553205400
712462132562536
oct1750264320310
9424504282010
10134265020616
1151a3a116261
1222031100860
13c87969777c
1466d9ac9156
15375c4d84e6
hex1f42d1a0c8

134265020616 has 96 divisors (see below), whose sum is σ = 381371664960. Its totient is φ = 42591728256.

The previous prime is 134265020587. The next prime is 134265020713. The reversal of 134265020616 is 616020562431.

134265020616 is a `hidden beast` number, since 1 + 34 + 2 + 6 + 5 + 0 + 2 + 0 + 616 = 666.

It is a super-2 number, since 2×1342650206162 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 120451 + ... + 532013.

It is an arithmetic number, because the mean of its divisors is an integer number (3972621510).

Almost surely, 2134265020616 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 134265020616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190685832480).

134265020616 is an abundant number, since it is smaller than the sum of its proper divisors (247106644344).

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

134265020616 is a wasteful number, since it uses less digits than its factorization.

134265020616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411795 (or 411788 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 134265020616 in words is "one hundred thirty-four billion, two hundred sixty-five million, twenty thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 197 207 276 394 414 552 591 788 828 1182 1576 1656 1773 2364 3546 4531 4728 7092 9062 13593 14184 18124 27186 36248 40779 54372 81558 108744 163116 326232 411563 823126 1234689 1646252 2469378 3292504 3704067 4938756 7408134 9465949 9877512 14816268 18931898 28397847 29632536 37863796 56795694 75727592 81077911 85193541 113591388 162155822 170387082 227182776 243233733 324311644 340774164 486467466 648623288 681548328 729701199 972934932 1459402398 1864791953 1945869864 2918804796 3729583906 5594375859 5837609592 7459167812 11188751718 14918335624 16783127577 22377503436 33566255154 44755006872 67132510308 134265020616