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137430281664 = 2634132039267
BaseRepresentation
bin111111111111101111…
…0111010110111000000
3111010201202022122220000
41333333132322313000
54222424123003124
6143045023520000
712633436056054
oct1777736726700
9433652278800
10137430281664
11533138a1785
1222775159000
13cc623922c0
14691a22dc64
1538953236c9
hex1fff7badc0

137430281664 has 140 divisors (see below), whose sum is σ = 438724038984. Its totient is φ = 42286219776.

The previous prime is 137430281663. The next prime is 137430281687. The reversal of 137430281664 is 466182034731.

137430281664 is a `hidden beast` number, since 1 + 37 + 430 + 28 + 166 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137430281663) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 952242 + ... + 1087025.

Almost surely, 2137430281664 is an apocalyptic number.

It is an amenable number.

137430281664 is an abundant number, since it is smaller than the sum of its proper divisors (301293757320).

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

137430281664 is a wasteful number, since it uses less digits than its factorization.

137430281664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2039304 (or 2039285 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 137430281664 in words is "one hundred thirty-seven billion, four hundred thirty million, two hundred eighty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 288 312 324 351 416 432 468 576 624 648 702 832 864 936 1053 1248 1296 1404 1728 1872 2106 2496 2592 2808 3744 4212 5184 5616 7488 8424 11232 16848 22464 33696 67392 2039267 4078534 6117801 8157068 12235602 16314136 18353403 24471204 26510471 32628272 36706806 48942408 53020942 55060209 65256544 73413612 79531413 97884816 106041884 110120418 130513088 146827224 159062826 165180627 195769632 212083768 220240836 238594239 293654448 318125652 330361254 391539264 424167536 440481672 477188478 587308896 636251304 660722508 715782717 848335072 880963344 954376956 1174617792 1272502608 1321445016 1431565434 1696670144 1761926688 1908753912 2147348151 2545005216 2642890032 2863130868 3523853376 3817507824 4294696302 5090010432 5285780064 5726261736 7635015648 8589392604 10571560128 11452523472 15270031296 17178785208 22905046944 34357570416 45810093888 68715140832 137430281664