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10074237684 = 2237197979901
BaseRepresentation
bin10010110000111100…
…01010101011110100
3222000002110022002020
421120132022223310
5131113001101214
64343353513140
7504435415230
oct113036125364
928002408066
1010074237684
1142aa70a975
121b51a127b0
13c471b0ab4
146b7d695c0
153de6744a9
hex25878aaf4

10074237684 has 96 divisors (see below), whose sum is σ = 28636876800. Its totient is φ = 2692310400.

The previous prime is 10074237673. The next prime is 10074237697. The reversal of 10074237684 is 48673247001.

10074237684 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 86134 + ... + 166034.

It is an arithmetic number, because the mean of its divisors is an integer number (298300800).

Almost surely, 210074237684 is an apocalyptic number.

10074237684 is a gapful number since it is divisible by the number (14) 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 10074237684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14318438400).

10074237684 is an abundant number, since it is smaller than the sum of its proper divisors (18562639116).

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

10074237684 is a wasteful number, since it uses less digits than its factorization.

10074237684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80013 (or 80011 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 10074237684 in words is "ten billion, seventy-four million, two hundred thirty-seven thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 79 84 114 133 158 228 237 266 316 399 474 532 553 798 948 1106 1501 1596 1659 2212 3002 3318 4503 6004 6636 9006 10507 18012 21014 31521 42028 63042 79901 126084 159802 239703 319604 479406 559307 958812 1118614 1518119 1677921 2237228 3036238 3355842 4554357 6072476 6312179 6711684 9108714 10626833 12624358 18217428 18936537 21253666 25248716 31880499 37873074 42507332 44185253 63760998 75746148 88370506 119931401 127521996 132555759 176741012 239862802 265111518 359794203 479725604 530223036 719588406 839519807 1439176812 1679039614 2518559421 3358079228 5037118842 10074237684