Search a number
-
+
101858206416 = 2434334900799
BaseRepresentation
bin101111011011100111…
…0001110001011010000
3100201220200012000020120
41132313032032023100
53132101200101131
6114443142510240
710234066316631
oct1366716161320
9321820160216
10101858206416
113a21a33608a
12178a8135380
1397b379c275
144d03b69888
1529b243e496
hex17b738e2d0

101858206416 has 40 divisors (see below), whose sum is σ = 263741452800. Its totient is φ = 33874315776.

The previous prime is 101858206409. The next prime is 101858206423. The reversal of 101858206416 is 614602858101.

It is an interprime number because it is at equal distance from previous prime (101858206409) and next prime (101858206423).

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, 2429616 + ... + 2471183.

It is an arithmetic number, because the mean of its divisors is an integer number (6593536320).

Almost surely, 2101858206416 is an apocalyptic number.

101858206416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101858206416 is an abundant number, since it is smaller than the sum of its proper divisors (161883246384).

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

101858206416 is a wasteful number, since it uses less digits than its factorization.

101858206416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4901243 (or 4901237 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 101858206416 in words is "one hundred one billion, eight hundred fifty-eight million, two hundred six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 433 866 1299 1732 2598 3464 5196 6928 10392 20784 4900799 9801598 14702397 19603196 29404794 39206392 58809588 78412784 117619176 235238352 2122045967 4244091934 6366137901 8488183868 12732275802 16976367736 25464551604 33952735472 50929103208 101858206416