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146206189937720 = 235112431209758073
BaseRepresentation
bin100001001111100101001000…
…000000111110010000111000
3201011200011201202112012020102
4201033211020000332100320
5123130420234111001340
61234542110232014532
742540022453251023
oct4117451000762070
9634604652465212
10146206189937720
11426497736a5700
12144938a5231448
1363772525cb6b3
1428165bb2d01ba
1511d825a04e215
hex84f94803e438

146206189937720 has 192 divisors, whose sum is σ = 370034440443360. Its totient is φ = 51924284375040.

The previous prime is 146206189937693. The next prime is 146206189937783. The reversal of 146206189937720 is 27739981602641.

It is a super-2 number, since 2×1462061899377202 (a number of 29 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 2517598604 + ... + 2517656676.

Almost surely, 2146206189937720 is an apocalyptic number.

146206189937720 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 146206189937720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185017220221680).

146206189937720 is an abundant number, since it is smaller than the sum of its proper divisors (223828250505640).

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

146206189937720 is a wasteful number, since it uses less digits than its factorization.

146206189937720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70246 (or 70231 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 65.

The spelling of 146206189937720 in words is "one hundred forty-six trillion, two hundred six billion, one hundred eighty-nine million, nine hundred thirty-seven thousand, seven hundred twenty".