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133714369880 = 235713155923563
BaseRepresentation
bin111110010000111111…
…1110101110101011000
3110210010210011210012122
41330201333311311120
54142321334314010
6141232203000412
712442365251030
oct1744177656530
9423123153178
10133714369880
1151787304203
1221ab8809108
13c7bc58a030
14668690a8c0
153728eb7855
hex1f21ff5d58

133714369880 has 128 divisors (see below), whose sum is σ = 370539187200. Its totient is φ = 42289454592.

The previous prime is 133714369879. The next prime is 133714369891. The reversal of 133714369880 is 88963417331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5662979 + ... + 5686541.

It is an arithmetic number, because the mean of its divisors is an integer number (2894837400).

Almost surely, 2133714369880 is an apocalyptic number.

133714369880 is a gapful number since it is divisible by the number (10) 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 133714369880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185269593600).

133714369880 is an abundant number, since it is smaller than the sum of its proper divisors (236824817320).

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

133714369880 is a wasteful number, since it uses less digits than its factorization.

133714369880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25153 (or 25149 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 53.

The spelling of 133714369880 in words is "one hundred thirty-three billion, seven hundred fourteen million, three hundred sixty-nine thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1559 1820 3118 3640 6236 7795 10913 12472 15590 20267 21826 23563 31180 40534 43652 47126 54565 62360 81068 87304 94252 101335 109130 117815 141869 162136 164941 188504 202670 218260 235630 283738 306319 329882 405340 436520 471260 567476 612638 659764 709345 810680 824705 942520 1134952 1225276 1319528 1418690 1531595 1649410 2144233 2450552 2837380 3063190 3298820 4288466 5674760 6126380 6597640 8576932 10721165 12252760 17153864 21442330 36734717 42884660 73469434 85769320 146938868 183673585 257143019 293877736 367347170 477551321 514286038 734694340 955102642 1028572076 1285715095 1469388680 1910205284 2057144152 2387756605 2571430190 3342859247 3820410568 4775513210 5142860380 6685718494 9551026420 10285720760 13371436988 16714296235 19102052840 26742873976 33428592470 66857184940 133714369880