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4154312992 = 252353281379
BaseRepresentation
bin1111011110011101…
…1100100100100000
3101201112001222002011
43313213130210200
532002001003432
61524121202304
7204643035454
oct36747344440
911645058064
104154312992
111842001925
1297b330394
135128a078b
142b5a42664
15194aa7847
hexf79dc920

4154312992 has 96 divisors (see below), whose sum is σ = 8749399680. Its totient is φ = 1937295360.

The previous prime is 4154312983. The next prime is 4154313011. The reversal of 4154312992 is 2992134514.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10961059 + ... + 10961437.

It is an arithmetic number, because the mean of its divisors is an integer number (91139580).

Almost surely, 24154312992 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 4154312992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4374699840).

4154312992 is an abundant number, since it is smaller than the sum of its proper divisors (4595086688).

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

4154312992 is a wasteful number, since it uses less digits than its factorization.

4154312992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 738 counting only the distinct ones).

The product of its digits is 77760, while the sum is 40.

The square root of 4154312992 is about 64453.9602507092. The cubic root of 4154312992 is about 1607.5570878192.

The spelling of 4154312992 in words is "four billion, one hundred fifty-four million, three hundred twelve thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 23 32 46 53 92 106 184 212 281 368 379 424 562 736 758 848 1124 1219 1516 1696 2248 2438 3032 4496 4876 6064 6463 8717 8992 9752 12128 12926 14893 17434 19504 20087 25852 29786 34868 39008 40174 51704 59572 69736 80348 103408 106499 119144 139472 160696 206816 212998 238288 278944 321392 342539 425996 462001 476576 642784 685078 851992 924002 1370156 1703984 1848004 2449477 2740312 3407968 3696008 4898954 5480624 5644447 7392016 9797908 10961248 11288894 14784032 19595816 22577788 39191632 45155576 78383264 90311152 129822281 180622304 259644562 519289124 1038578248 2077156496 4154312992