Search a number
-
+
149203366976 = 2623599169217
BaseRepresentation
bin1000101011110100110…
…1101011010001000000
3112021010020110100210202
42022331031223101000
54421032030220401
6152313145544332
713531253456666
oct2127515532100
9467106410722
10149203366976
1158305457a54
1224abbaa50a8
13110ba507c81
147315a60c36
153d33bc006b
hex22bd36b440

149203366976 has 56 divisors (see below), whose sum is σ = 309465878400. Its totient is φ = 71238582272.

The previous prime is 149203366957. The next prime is 149203367017. The reversal of 149203366976 is 679663302941.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 797120 + ... + 966336.

It is an arithmetic number, because the mean of its divisors is an integer number (5526176400).

Almost surely, 2149203366976 is an apocalyptic number.

149203366976 is a gapful number since it is divisible by the number (16) 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 149203366976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154732939200).

149203366976 is an abundant number, since it is smaller than the sum of its proper divisors (160262511424).

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

149203366976 is a wasteful number, since it uses less digits than its factorization.

149203366976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169851 (or 169841 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 56.

The spelling of 149203366976 in words is "one hundred forty-nine billion, two hundred three million, three hundred sixty-six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 599 736 1198 1472 2396 4792 9584 13777 19168 27554 38336 55108 110216 169217 220432 338434 440864 676868 881728 1353736 2707472 3891991 5414944 7783982 10829888 15567964 31135928 62271856 101360983 124543712 202721966 249087424 405443932 810887864 1621775728 2331302609 3243551456 4662605218 6487102912 9325210436 18650420872 37300841744 74601683488 149203366976