Search a number
-
+
29871779001328 = 2411853198975401
BaseRepresentation
bin1101100101011000100001…
…10001101011001111110000
310220202201021122021010220101
412302230100301223033300
512403404400411020303
6143310523354122144
76202110350030515
oct662542061531760
9126681248233811
1029871779001328
119577606543a60
123425426420354
131388b86cb4934
14753b3228d30c
1536c078221d1d
hex1b2b10c6b3f0

29871779001328 has 40 divisors (see below), whose sum is σ = 63212097510576. Its totient is φ = 13562163264000.

The previous prime is 29871779001313. The next prime is 29871779001331. The reversal of 29871779001328 is 82310097717892.

It is a hoax number, since the sum of its digits (64) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 29871779001328.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99337573 + ... + 99637828.

Almost surely, 229871779001328 is an apocalyptic number.

It is an amenable number.

29871779001328 is an abundant number, since it is smaller than the sum of its proper divisors (33340318509248).

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

29871779001328 is a wasteful number, since it uses less digits than its factorization.

29871779001328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198976273 (or 198976267 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 64.

The spelling of 29871779001328 in words is "twenty-nine trillion, eight hundred seventy-one billion, seven hundred seventy-nine million, one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 176 853 1706 3412 6824 9383 13648 18766 37532 75064 150128 198975401 397950802 795901604 1591803208 2188729411 3183606416 4377458822 8754917644 17509835288 35019670576 169726017053 339452034106 678904068212 1357808136424 1866986187583 2715616272848 3733972375166 7467944750332 14935889500664 29871779001328