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136893396300 = 2235210310314297
BaseRepresentation
bin111111101111101111…
…0110111010101001100
3111002100100002001121220
41333133132313111030
54220324202140200
6142515444323340
712614226445443
oct1773736672514
9432310061556
10136893396300
1153068831871
12226453a3550
13cba809425b
1468a8bd5d5a
1538631214a0
hex1fdf7b754c

136893396300 has 144 divisors (see below), whose sum is σ = 400404705792. Its totient is φ = 36107020800.

The previous prime is 136893396293. The next prime is 136893396301. The reversal of 136893396300 is 3693398631.

It is not an unprimeable number, because it can be changed into a prime (136893396301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31855752 + ... + 31860048.

Almost surely, 2136893396300 is an apocalyptic number.

136893396300 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 136893396300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200202352896).

136893396300 is an abundant number, since it is smaller than the sum of its proper divisors (263511309492).

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

136893396300 is a wasteful number, since it uses less digits than its factorization.

136893396300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5448 (or 5441 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 51.

The spelling of 136893396300 in words is "one hundred thirty-six billion, eight hundred ninety-three million, three hundred ninety-six thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 103 150 206 300 309 412 515 618 1030 1031 1236 1545 2060 2062 2575 3090 3093 4124 4297 5150 5155 6180 6186 7725 8594 10300 10310 12372 12891 15450 15465 17188 20620 21485 25775 25782 30900 30930 42970 51550 51564 61860 64455 77325 85940 103100 106193 107425 128910 154650 212386 214850 257820 309300 318579 322275 424772 429700 442591 530965 637158 644550 885182 1061930 1274316 1289100 1327773 1592895 1770364 2123860 2212955 2654825 2655546 3185790 4425910 4430207 5309650 5311092 6371580 6638865 7964475 8851820 8860414 10619300 11064775 13277730 13290621 15928950 17720828 22129550 22151035 26555460 26581242 31857900 33194325 44259100 44302070 53162484 66388650 66453105 88604140 110755175 132777300 132906210 221510350 265812420 332265525 443020700 456311321 664531050 912622642 1329062100 1368933963 1825245284 2281556605 2737867926 4563113210 5475735852 6844669815 9126226420 11407783025 13689339630 22815566050 27378679260 34223349075 45631132100 68446698150 136893396300