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149212402752 = 2637281395093
BaseRepresentation
bin1000101011110111000…
…0001001010001000000
3112021010212110102120010
42022331300021101000
54421041333342002
6152314111344520
713531423332240
oct2127560112100
9467125412503
10149212402752
115830a569736
1224b02b22140
13110bc34c99a
147316d33b20
153d348a746c
hex22bdc09440

149212402752 has 112 divisors (see below), whose sum is σ = 452796688512. Its totient is φ = 42480291840.

The previous prime is 149212402747. The next prime is 149212402763. The reversal of 149212402752 is 257204212941.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1492124027522 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 149212402752.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180118 + ... + 575210.

It is an arithmetic number, because the mean of its divisors is an integer number (4042827576).

Almost surely, 2149212402752 is an apocalyptic number.

149212402752 is a gapful number since it is divisible by the number (12) 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 149212402752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226398344256).

149212402752 is an abundant number, since it is smaller than the sum of its proper divisors (303584285760).

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

149212402752 is a wasteful number, since it uses less digits than its factorization.

149212402752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395396 (or 395386 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 149212402752 in words is "one hundred forty-nine billion, two hundred twelve million, four hundred two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 281 336 448 562 672 843 1124 1344 1686 1967 2248 3372 3934 4496 5901 6744 7868 8992 11802 13488 15736 17984 23604 26976 31472 47208 53952 62944 94416 125888 188832 377664 395093 790186 1185279 1580372 2370558 2765651 3160744 4741116 5531302 6321488 8296953 9482232 11062604 12642976 16593906 18964464 22125208 25285952 33187812 37928928 44250416 66375624 75857856 88500832 111021133 132751248 177001664 222042266 265502496 333063399 444084532 531004992 666126798 777147931 888169064 1332253596 1554295862 1776338128 2331443793 2664507192 3108591724 3552676256 4662887586 5329014384 6217183448 7105352512 9325775172 10658028768 12434366896 18651550344 21316057536 24868733792 37303100688 49737467584 74606201376 149212402752