Search a number
-
+
149219296768 = 292989112919
BaseRepresentation
bin1000101011111000101…
…0011100011000000000
3112021011100102200101001
42022332022130120000
54421100114444033
6152314515221344
713531536044353
oct2127612343000
9467140380331
10149219296768
1158313448273
1224b052a7854
13110c08c4899
147317c0a29a
153d352b9e7d
hex22be29c600

149219296768 has 80 divisors (see below), whose sum is σ = 311896332000. Its totient is φ = 71226867712.

The previous prime is 149219296711. The next prime is 149219296783. The reversal of 149219296768 is 867692912941.

It is a Harshad number since it is a multiple of its sum of digits (64).

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, 1265013 + ... + 1377931.

It is an arithmetic number, because the mean of its divisors is an integer number (3898704150).

Almost surely, 2149219296768 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 149219296768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155948166000).

149219296768 is an abundant number, since it is smaller than the sum of its proper divisors (162677035232).

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

149219296768 is an equidigital number, since it uses as much as digits as its factorization.

149219296768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113055 (or 113039 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 64.

The spelling of 149219296768 in words is "one hundred forty-nine billion, two hundred nineteen million, two hundred ninety-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 89 116 128 178 232 256 356 464 512 712 928 1424 1856 2581 2848 3712 5162 5696 7424 10324 11392 14848 20648 22784 41296 45568 82592 112919 165184 225838 330368 451676 660736 903352 1321472 1806704 3274651 3613408 6549302 7226816 10049791 13098604 14453632 20099582 26197208 28907264 40199164 52394416 57814528 80398328 104788832 160796656 209577664 291443939 321593312 419155328 582887878 643186624 838310656 1165775756 1286373248 1676621312 2331551512 2572746496 4663103024 5145492992 9326206048 18652412096 37304824192 74609648384 149219296768