Search a number
-
+
29000831757378 = 23134371142985223
BaseRepresentation
bin1101001100000010010000…
…10001100110110001000010
310210200110012211100222121220
412212001020101212301002
512300122200412214003
6141402444224055510
76052145434431615
oct646011021466102
9123613184328556
1029000831757378
119271202527858
12330467ba64596
1313249c7595450
1472390d5b817c
153545a15ae353
hex1a6048466c42

29000831757378 has 128 divisors (see below), whose sum is σ = 64862309191680. Its totient is φ = 8586941448960.

The previous prime is 29000831757353. The next prime is 29000831757397. The reversal of 29000831757378 is 87375713800092.

It is a happy number.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 340250875 + ... + 340336097.

It is an arithmetic number, because the mean of its divisors is an integer number (506736790560).

Almost surely, 229000831757378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29000831757378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32431154595840).

29000831757378 is an abundant number, since it is smaller than the sum of its proper divisors (35861477434302).

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

29000831757378 is a wasteful number, since it uses less digits than its factorization.

29000831757378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86784.

The product of its (nonzero) digits is 17781120, while the sum is 60.

The spelling of 29000831757378 in words is "twenty-nine trillion, eight hundred thirty-one million, seven hundred fifty-seven thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 13 26 39 43 71 78 86 129 142 213 258 426 559 923 1118 1429 1677 1846 2769 2858 3053 3354 4287 5538 6106 8574 9159 18318 18577 37154 39689 55731 61447 79378 85223 101459 111462 119067 122894 170446 184341 202918 238134 255669 304377 368682 511338 608754 798811 1107899 1318967 1597622 2215798 2396433 2637934 3323697 3664589 3956901 4362737 4792866 6050833 6647394 7329178 7913802 8725474 10993767 12101666 13088211 18152499 21987534 26176422 36304998 47639657 56715581 78660829 95279314 113431162 121783667 142918971 157321658 170146743 235982487 243567334 260185819 285837942 340293486 365351001 471964974 520371638 730702002 780557457 1561114914 1583187671 3166375342 3382415647 4749563013 5236697681 6764831294 8646640357 9499126026 10147246941 10473395362 15710093043 17293280714 20294493882 25939921071 31420186086 51879842142 68077069853 112406324641 136154139706 204231209559 224812649282 337218973923 371805535351 408462419118 674437947846 743611070702 1115416606053 2230833212106 4833471959563 9666943919126 14500415878689 29000831757378