Search a number
-
+
42671914496 = 291036911171
BaseRepresentation
bin100111101111011100…
…011011111000000000
311002010212201212010122
4213233130123320000
51144343002230441
631334143115412
73040310200661
oct475734337000
9132125655118
1042671914496
1117108201a42
12832a8a2b68
1340407b4563
1420cb3ad368
15119b37034b
hex9ef71be00

42671914496 has 80 divisors (see below), whose sum is σ = 86286465408. Its totient is φ = 21080217600.

The previous prime is 42671914471. The next prime is 42671914511. The reversal of 42671914496 is 69441917624.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36439991 + ... + 36441161.

Almost surely, 242671914496 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 42671914496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43143232704).

42671914496 is an abundant number, since it is smaller than the sum of its proper divisors (43614550912).

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

42671914496 is a wasteful number, since it uses less digits than its factorization.

42671914496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1967 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 53.

The spelling of 42671914496 in words is "forty-two billion, six hundred seventy-one million, nine hundred fourteen thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 103 128 206 256 412 512 691 824 1171 1382 1648 2342 2764 3296 4684 5528 6592 9368 11056 13184 18736 22112 26368 37472 44224 52736 71173 74944 88448 120613 142346 149888 176896 241226 284692 299776 353792 482452 569384 599552 809161 964904 1138768 1618322 1929808 2277536 3236644 3859616 4555072 6473288 7719232 9110144 12946576 15438464 18220288 25893152 30876928 36440576 51786304 61753856 83343583 103572608 166687166 207145216 333374332 414290432 666748664 1333497328 2666994656 5333989312 10667978624 21335957248 42671914496