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348427025632 = 2573188756569
BaseRepresentation
bin1010001000111111101…
…11100111110011100000
31020022100110220211012001
411010133313213303200
521202034304310012
6424022024213344
734113226565110
oct5043767476340
91208313824161
10348427025632
11124848a77434
125763b60a254
1326b19a38a6a
1412c149b5040
1590e3de2357
hex511fde7ce0

348427025632 has 96 divisors (see below), whose sum is σ = 810176532480. Its totient is φ = 144343434240.

The previous prime is 348427025587. The next prime is 348427025659. The reversal of 348427025632 is 236520724843.

It is a happy number.

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, 6131044 + ... + 6187612.

It is an arithmetic number, because the mean of its divisors is an integer number (8439338880).

Almost surely, 2348427025632 is an apocalyptic number.

348427025632 is a gapful number since it is divisible by the number (32) 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 348427025632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405088266240).

348427025632 is an abundant number, since it is smaller than the sum of its proper divisors (461749506848).

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

348427025632 is a wasteful number, since it uses less digits than its factorization.

348427025632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57504 (or 57496 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 46.

The spelling of 348427025632 in words is "three hundred forty-eight billion, four hundred twenty-seven million, twenty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 887 992 1736 1774 3472 3548 6209 6944 7096 12418 14192 24836 27497 28384 49672 54994 56569 99344 109988 113138 192479 198688 219976 226276 384958 395983 439952 452552 769916 791966 879904 905104 1539832 1583932 1753639 1810208 3079664 3167864 3507278 6159328 6335728 7014556 12275473 12671456 14029112 24550946 28058224 49101892 50176703 56116448 98203784 100353406 196407568 200706812 351236921 392815136 401413624 702473842 802827248 1404947684 1555477793 1605654496 2809895368 3110955586 5619790736 6221911172 10888344551 11239581472 12443822344 21776689102 24887644688 43553378204 49775289376 87106756408 174213512816 348427025632