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107507258944 = 2653269911743
BaseRepresentation
bin110010000011111101…
…1101001011001000000
3101021111100212121111021
41210013323221121000
53230133324241234
6121215501355224
710524062423551
oct1440773513100
9337440777437
10107507258944
1141659054938
1218a03b68b14
13a1a3c3c7b7
1452bc102328
152be33529b4
hex1907ee9640

107507258944 has 56 divisors (see below), whose sum is σ = 217458950400. Its totient is φ = 52715380224.

The previous prime is 107507258939. The next prime is 107507258951. The reversal of 107507258944 is 449852705701.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 107507258891 and 107507258900.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9149137 + ... + 9160879.

Almost surely, 2107507258944 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 107507258944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108729475200).

107507258944 is an abundant number, since it is smaller than the sum of its proper divisors (109951691456).

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

107507258944 is a wasteful number, since it uses less digits than its factorization.

107507258944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14507 (or 14497 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 52.

The spelling of 107507258944 in words is "one hundred seven billion, five hundred seven million, two hundred fifty-eight thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 848 1696 2699 3392 5398 10796 11743 21592 23486 43184 46972 86368 93944 143047 172736 187888 286094 375776 572188 622379 751552 1144376 1244758 2288752 2489516 4577504 4979032 9155008 9958064 19916128 31694357 39832256 63388714 126777428 253554856 507109712 1014219424 1679800921 2028438848 3359601842 6719203684 13438407368 26876814736 53753629472 107507258944