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149894794188 = 22335961385639
BaseRepresentation
bin1000101110011001101…
…1010000101111001100
3112022220102111111122000
42023212123100233030
54423441031403223
6152505525352300
713554350504526
oct2134633205714
9468812444560
10149894794188
115862a7814a7
1225073568690
131119a8352b9
14737d806a16
153d7474c543
hex22e66d0bcc

149894794188 has 96 divisors (see below), whose sum is σ = 401682624000. Its totient is φ = 48312728640.

The previous prime is 149894794177. The next prime is 149894794199. The reversal of 149894794188 is 881497498941.

149894794188 is a `hidden beast` number, since 1 + 498 + 9 + 47 + 94 + 1 + 8 + 8 = 666.

149894794188 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (149894794177) and next prime (149894794199).

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 31 ways as a sum of consecutive naturals, for example, 195873 + ... + 581511.

It is an arithmetic number, because the mean of its divisors is an integer number (4184194000).

Almost surely, 2149894794188 is an apocalyptic number.

149894794188 is a gapful number since it is divisible by the number (18) 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 149894794188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200841312000).

149894794188 is an abundant number, since it is smaller than the sum of its proper divisors (251787829812).

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

149894794188 is a wasteful number, since it uses less digits than its factorization.

149894794188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385772 (or 385764 counting only the distinct ones).

The product of its digits is 167215104, while the sum is 72.

The spelling of 149894794188 in words is "one hundred forty-nine billion, eight hundred ninety-four million, seven hundred ninety-four thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 61 108 118 122 177 183 236 244 354 366 531 549 708 732 1062 1098 1593 1647 2124 2196 3186 3294 3599 6372 6588 7198 10797 14396 21594 32391 43188 64782 97173 129564 194346 385639 388692 771278 1156917 1542556 2313834 3470751 4627668 6941502 10412253 13883004 20824506 22752701 23523979 41649012 45505402 47047958 68258103 70571937 91010804 94095916 136516206 141143874 204774309 211715811 273032412 282287748 409548618 423431622 614322927 635147433 819097236 846863244 1228645854 1270294866 1387914761 2457291708 2540589732 2775829522 4163744283 5551659044 8327488566 12491232849 16654977132 24982465698 37473698547 49964931396 74947397094 149894794188