Search a number
-
+
98212112352 = 25321013376379
BaseRepresentation
bin101101101110111100…
…1011110011111100000
3100101111120102020110200
41123131321132133200
53102114300043402
6113041254225200
710044534116034
oct1333571363740
9311446366420
1098212112352
11387191a4702
121704b055200
1393522a0863
144a7981c1c4
15284c2c521c
hex16dde5e7e0

98212112352 has 72 divisors (see below), whose sum is σ = 282056032440. Its totient is φ = 32413228800.

The previous prime is 98212112347. The next prime is 98212112381. The reversal of 98212112352 is 25321121289.

98212112352 is a `hidden beast` number, since 98 + 2 + 1 + 211 + 2 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1659102 + ... + 1717277.

It is an arithmetic number, because the mean of its divisors is an integer number (3917444895).

Almost surely, 298212112352 is an apocalyptic number.

It is an amenable number.

98212112352 is an abundant number, since it is smaller than the sum of its proper divisors (183843920088).

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

98212112352 is a wasteful number, since it uses less digits than its factorization.

98212112352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3376496 (or 3376485 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The spelling of 98212112352 in words is "ninety-eight billion, two hundred twelve million, one hundred twelve thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 101 144 202 288 303 404 606 808 909 1212 1616 1818 2424 3232 3636 4848 7272 9696 14544 29088 3376379 6752758 10129137 13505516 20258274 27011032 30387411 40516548 54022064 60774822 81033096 108044128 121549644 162066192 243099288 324132384 341014279 486198576 682028558 972397152 1023042837 1364057116 2046085674 2728114232 3069128511 4092171348 5456228464 6138257022 8184342696 10912456928 12276514044 16368685392 24553028088 32737370784 49106056176 98212112352