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130129897728 = 2831275232551
BaseRepresentation
bin111100100110001011…
…0001010100100000000
3110102212222100201210210
41321030112022210000
54113001223211403
6135440355154120
712254511610635
oct1711426124400
9412788321723
10130129897728
1150207a31226
12212782a5940
13c36aa858ac
14642684018c
1535b9471b03
hex1e4c58a900

130129897728 has 144 divisors (see below), whose sum is σ = 349866868736. Its totient is φ = 42935961600.

The previous prime is 130129897727. The next prime is 130129897813. The reversal of 130129897728 is 827798921031.

It is not an unprimeable number, because it can be changed into a prime (130129897727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51010053 + ... + 51012603.

Almost surely, 2130129897728 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 130129897728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174933434368).

130129897728 is an abundant number, since it is smaller than the sum of its proper divisors (219736971008).

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

130129897728 is a wasteful number, since it uses less digits than its factorization.

130129897728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3220 (or 3206 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 57.

The spelling of 130129897728 in words is "one hundred thirty billion, one hundred twenty-nine million, eight hundred ninety-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 256 381 384 508 523 762 768 1016 1046 1524 1569 2032 2092 2551 3048 3138 4064 4184 5102 6096 6276 7653 8128 8368 10204 12192 12552 15306 16256 16736 20408 24384 25104 30612 32512 33472 40816 48768 50208 61224 66421 66944 81632 97536 100416 122448 132842 133888 163264 199263 200832 244896 265684 323977 326528 398526 401664 489792 531368 647954 653056 797052 971931 979584 1062736 1295908 1334173 1594104 1943862 1959168 2125472 2591816 2668346 3188208 3887724 4002519 4250944 5183632 5336692 6376416 7775448 8005038 8501888 10367264 10673384 12752832 15550896 16010076 17003776 20734528 21346768 25505664 31101792 32020152 41469056 42693536 51011328 62203584 64040304 82938112 85387072 124407168 128080608 169439971 170774144 248814336 256161216 338879942 341548288 508319913 512322432 677759884 1016639826 1024644864 1355519768 2033279652 2711039536 4066559304 5422079072 8133118608 10844158144 16266237216 21688316288 32532474432 43376632576 65064948864 130129897728