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29690391480 = 23358317317231
BaseRepresentation
bin11011101001101011…
…110110101110111000
32211122011201011022220
4123221223312232320
5441301220011410
621350052044040
72100520110051
oct335153665670
984564634286
1029690391480
11116564a7622
125907303620
132a521b19a9
141619293728
15b8b86d070
hex6e9af6bb8

29690391480 has 128 divisors (see below), whose sum is σ = 90670648320. Its totient is φ = 7776381440.

The previous prime is 29690391473. The next prime is 29690391491. The reversal of 29690391480 is 8419309692.

It is a Cunningham number, because it is equal to 1723092-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1714465 + ... + 1731695.

It is an arithmetic number, because the mean of its divisors is an integer number (708364440).

Almost surely, 229690391480 is an apocalyptic number.

29690391480 is a gapful number since it is divisible by the number (20) 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 29690391480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45335324160).

29690391480 is an abundant number, since it is smaller than the sum of its proper divisors (60980256840).

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

29690391480 is a wasteful number, since it uses less digits than its factorization.

29690391480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17501 (or 17497 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The spelling of 29690391480 in words is "twenty-nine billion, six hundred ninety million, three hundred ninety-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 173 249 332 346 415 498 519 664 692 830 865 996 1038 1245 1384 1660 1730 1992 2076 2490 2595 3320 3460 4152 4980 5190 6920 9960 10380 14359 17231 20760 28718 34462 43077 51693 57436 68924 71795 86154 86155 103386 114872 137848 143590 172308 172310 206772 215385 258465 287180 344616 344620 413544 430770 516930 574360 689240 861540 1033860 1430173 1723080 2067720 2860346 2980963 4290519 5720692 5961926 7150865 8581038 8942889 11441384 11923852 14301730 14904815 17162076 17885778 21452595 23847704 28603460 29809630 34324152 35771556 42905190 44714445 57206920 59619260 71543112 85810380 89428890 119238520 171620760 178857780 247419929 357715560 494839858 742259787 989679716 1237099645 1484519574 1979359432 2474199290 2969039148 3711298935 4948398580 5938078296 7422597870 9896797160 14845195740 29690391480