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149193983041376 = 25713191326782121
BaseRepresentation
bin100001111011000011101110…
…010111001001111101100000
3201120020210202012100212220112
4201323003232113021331200
5124023343234124311001
61245150434123230452
743265623660512050
oct4173035627117540
9646223665325815
10149193983041376
11435a08a3a47499
1214896963078428
136532c171667c0
1428bb054d0d560
15123ad27ca4cbb
hex87b0ee5c9f60

149193983041376 has 96 divisors (see below), whose sum is σ = 361697485520448. Its totient is φ = 58990940282880.

The previous prime is 149193983041351. The next prime is 149193983041391. The reversal of 149193983041376 is 673140389391941.

It is a congruent number.

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, 7820405 + ... + 18961716.

It is an arithmetic number, because the mean of its divisors is an integer number (3767682140838).

Almost surely, 2149193983041376 is an apocalyptic number.

149193983041376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

149193983041376 is an abundant number, since it is smaller than the sum of its proper divisors (212503502479072).

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

149193983041376 is a wasteful number, since it uses less digits than its factorization.

149193983041376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26784064 (or 26784056 counting only the distinct ones).

The product of its (nonzero) digits is 105815808, while the sum is 68.

The spelling of 149193983041376 in words is "one hundred forty-nine trillion, one hundred ninety-three billion, nine hundred eighty-three million, forty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 1913 2912 3826 7652 13391 15304 24869 26782 30608 49738 53564 61216 99476 107128 174083 198952 214256 348166 397904 428512 696332 795808 1392664 2785328 5570656 26782121 53564242 107128484 187474847 214256968 348167573 374949694 428513936 696335146 749899388 857027872 1392670292 1499798776 2437173011 2785340584 2999597552 4874346022 5570681168 5999195104 9748692044 11141362336 19497384088 38994768176 51234197473 77989536352 102468394946 204936789892 358639382311 409873579784 666044567149 717278764622 819747159568 1332089134298 1434557529244 1639494319136 2664178268596 2869115058488 4662311970043 5328356537192 5738230116976 9324623940086 10656713074384 11476460233952 18649247880172 21313426148768 37298495760344 74596991520688 149193983041376