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46298623072 = 2513172894327
BaseRepresentation
bin101011000111100111…
…001110110001100000
311102111122000202000111
4223013213032301200
51224304421414242
633134100101104
73226215542242
oct530747166140
9142448022014
1046298623072
11186a9402859
128b81394794
13449ac86470
142352d12092
15130e95a817
hexac79cec60

46298623072 has 144 divisors (see below), whose sum is σ = 105471888480. Its totient is φ = 19881050112.

The previous prime is 46298623061. The next prime is 46298623097. The reversal of 46298623072 is 27032689264.

46298623072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10697773 + ... + 10702099.

It is an arithmetic number, because the mean of its divisors is an integer number (732443670).

Almost surely, 246298623072 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 46298623072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52735944240).

46298623072 is an abundant number, since it is smaller than the sum of its proper divisors (59173265408).

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

46298623072 is a wasteful number, since it uses less digits than its factorization.

46298623072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4473 (or 4448 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

The spelling of 46298623072 in words is "forty-six billion, two hundred ninety-eight million, six hundred twenty-three thousand, seventy-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 89 104 136 178 208 221 272 289 356 416 442 544 578 712 884 1156 1157 1424 1513 1768 2312 2314 2848 3026 3536 3757 4327 4624 4628 6052 7072 7514 8654 9248 9256 12104 15028 17308 18512 19669 24208 25721 30056 34616 37024 39338 48416 51442 56251 60112 69232 73559 78676 102884 112502 120224 138464 147118 157352 205768 225004 294236 314704 334373 385103 411536 450008 588472 629408 668746 770206 823072 900016 956267 1176944 1250503 1337492 1540412 1800032 1912534 2353888 2501006 2674984 3080824 3825068 5002012 5006339 5349968 6161648 6546751 7650136 10004024 10012678 10699936 12323296 13093502 15300272 16256539 20008048 20025356 26187004 30600544 32513078 40016096 40050712 52374008 65026156 80101424 85107763 104748016 111294767 130052312 160202848 170215526 209496032 222589534 260104624 340431052 445179068 520209248 680862104 890358136 1361724208 1446831971 1780716272 2723448416 2893663942 3561432544 5787327884 11574655768 23149311536 46298623072