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196300121952 = 25311773240479
BaseRepresentation
bin1011011011010001100…
…1100010011101100000
3200202200111022101222010
42312310121202131200
511204010312400302
6230102400512520
720116333335354
oct2666431423540
9622614271863
10196300121952
1176283335050
123206461b740
131568493bc1c
149702973464
15518d73416c
hex2db4662760

196300121952 has 96 divisors (see below), whose sum is σ = 562861716480. Its totient is φ = 59407685120.

The previous prime is 196300121917. The next prime is 196300121957. The reversal of 196300121952 is 259121003691.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 196300121952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196300121957) 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, 696049 + ... + 936527.

It is an arithmetic number, because the mean of its divisors is an integer number (5863142880).

Almost surely, 2196300121952 is an apocalyptic number.

196300121952 is a gapful number since it is divisible by the number (12) 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 196300121952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281430858240).

196300121952 is an abundant number, since it is smaller than the sum of its proper divisors (366561594528).

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

196300121952 is a wasteful number, since it uses less digits than its factorization.

196300121952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241276 (or 241268 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 39.

The spelling of 196300121952 in words is "one hundred ninety-six billion, three hundred million, one hundred twenty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 773 1056 1546 2319 3092 4638 6184 8503 9276 12368 17006 18552 24736 25509 34012 37104 51018 68024 74208 102036 136048 204072 240479 272096 408144 480958 721437 816288 961916 1442874 1923832 2645269 2885748 3847664 5290538 5771496 7695328 7935807 10581076 11542992 15871614 21162152 23085984 31743228 42324304 63486456 84648608 126972912 185890267 253945824 371780534 557670801 743561068 1115341602 1487122136 2044792937 2230683204 2974244272 4089585874 4461366408 5948488544 6134378811 8179171748 8922732816 12268757622 16358343496 17845465632 24537515244 32716686992 49075030488 65433373984 98150060976 196300121952