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10482803436 = 22372113157769
BaseRepresentation
bin10011100001101001…
…01110001011101100
31000001120020120221010
421300310232023230
5132432044202221
64452110505220
7520526234100
oct116064561354
930046216833
1010482803436
11449a2a6416
122046805210
13cb0a31191
1471631d900
1541547ac76
hex270d2e2ec

10482803436 has 72 divisors (see below), whose sum is σ = 28705304880. Its totient is φ = 2968562688.

The previous prime is 10482803423. The next prime is 10482803447. The reversal of 10482803436 is 63430828401.

It is a happy number.

10482803436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10482803394 and 10482803403.

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 23 ways as a sum of consecutive naturals, for example, 12441 + ... + 145328.

It is an arithmetic number, because the mean of its divisors is an integer number (398684790).

Almost surely, 210482803436 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 10482803436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14352652440).

10482803436 is an abundant number, since it is smaller than the sum of its proper divisors (18222501444).

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

10482803436 is a wasteful number, since it uses less digits than its factorization.

10482803436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157903 (or 157894 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 10482803436 in words is "ten billion, four hundred eighty-two million, eight hundred three thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 113 147 196 226 294 339 452 588 678 791 1356 1582 2373 3164 4746 5537 9492 11074 16611 22148 33222 66444 157769 315538 473307 631076 946614 1104383 1893228 2208766 3313149 4417532 6626298 7730681 13252596 15461362 17827897 23192043 30922724 35655794 46384086 53483691 71311588 92768172 106967382 124795279 213934764 249590558 374385837 499181116 748771674 873566953 1497543348 1747133906 2620700859 3494267812 5241401718 10482803436