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196234210640 = 24513823229267
BaseRepresentation
bin1011011011000001111…
…0000110110101010000
3200202111220021202122102
42312300132012311100
511203341424220030
6230052044055532
720114603161166
oct2666036066520
9622456252572
10196234210640
117624a106996
12320465345a8
13156740a2450
1496d7cd7236
155187a64c45
hex2db0786d50

196234210640 has 80 divisors (see below), whose sum is σ = 491939430528. Its totient is φ = 72367354368.

The previous prime is 196234210589. The next prime is 196234210643. The reversal of 196234210640 is 46012432691.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 196234210594 and 196234210603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196234210643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 741287 + ... + 970553.

Almost surely, 2196234210640 is an apocalyptic number.

196234210640 is a gapful number since it is divisible by the number (10) 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 196234210640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245969715264).

196234210640 is an abundant number, since it is smaller than the sum of its proper divisors (295705219888).

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

196234210640 is a wasteful number, since it uses less digits than its factorization.

196234210640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230116 (or 230110 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The spelling of 196234210640 in words is "one hundred ninety-six billion, two hundred thirty-four million, two hundred ten thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 823 1040 1646 3292 4115 6584 8230 10699 13168 16460 21398 32920 42796 53495 65840 85592 106990 171184 213980 229267 427960 458534 855920 917068 1146335 1834136 2292670 2980471 3668272 4585340 5960942 9170680 11921884 14902355 18341360 23843768 29804710 47687536 59609420 119218840 188686741 238437680 377373482 754746964 943433705 1509493928 1886867410 2452927633 3018987856 3773734820 4905855266 7547469640 9811710532 12264638165 15094939280 19623421064 24529276330 39246842128 49058552660 98117105320 196234210640