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46867242374048 = 252328719317539
BaseRepresentation
bin10101010100000001000010…
…10101010101001110100000
320010221110112200222211102102
422222000201111111032200
522120333103021432143
6243402303001105532
712605021646104615
oct1252004125251640
9203843480884372
1046867242374048
1113a2a316548078
12530b2287882a8
13201c73c909625
14b8055acd250c
155641d043d0b8
hex2aa0215553a0

46867242374048 has 72 divisors (see below), whose sum is σ = 96467407243200. Its totient is φ = 22412126715264.

The previous prime is 46867242374047. The next prime is 46867242374143. The reversal of 46867242374048 is 84047324276864.

It is a happy number.

It is a super-2 number, since 2×468672423740482 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46867242374047) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 147436463 + ... + 147754001.

It is an arithmetic number, because the mean of its divisors is an integer number (1339825100600).

Almost surely, 246867242374048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46867242374048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48233703621600).

46867242374048 is an abundant number, since it is smaller than the sum of its proper divisors (49600164869152).

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

46867242374048 is a wasteful number, since it uses less digits than its factorization.

46867242374048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326314 (or 326283 counting only the distinct ones).

The product of its (nonzero) digits is 346816512, while the sum is 65.

The spelling of 46867242374048 in words is "forty-six trillion, eight hundred sixty-seven billion, two hundred forty-two million, three hundred seventy-four thousand, forty-eight".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 529 736 1058 2116 4232 8464 8719 16928 17438 34876 69752 139504 200537 279008 317539 401074 635078 802148 1270156 1604296 2540312 3208592 4612351 5080624 6417184 7303397 9224702 10161248 14606794 18449404 29213588 36898808 58427176 73797616 116854352 147595232 167978131 233708704 335956262 671912524 1343825048 2687650096 2768622541 5375300192 5537245082 11074490164 22148980328 44297960656 63678318443 88595921312 127356636886 254713273772 509426547544 1018853095088 1464601324189 2037706190176 2929202648378 5858405296756 11716810593512 23433621187024 46867242374048