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245134885504 = 2718126340231
BaseRepresentation
bin1110010001001100101…
…1011000001010000000
3212102201212112102200111
43210103023120022000
513004014012314004
6304340255201104
723465446101325
oct3442313301200
9772655472614
10245134885504
1194a63285773
123b613216194
131a168169712
14bc16622b4c
15659ab58a04
hex39132d8280

245134885504 has 64 divisors (see below), whose sum is σ = 492932119680. Its totient is φ = 121423795200.

The previous prime is 245134885493. The next prime is 245134885519. The reversal of 245134885504 is 405588431542.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2451348855042 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6073069 + ... + 6113299.

It is an arithmetic number, because the mean of its divisors is an integer number (7702064370).

Almost surely, 2245134885504 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 245134885504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246466059840).

245134885504 is an abundant number, since it is smaller than the sum of its proper divisors (247797234176).

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

245134885504 is a wasteful number, since it uses less digits than its factorization.

245134885504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40689 (or 40677 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 49.

The spelling of 245134885504 in words is "two hundred forty-five billion, one hundred thirty-four million, eight hundred eighty-five thousand, five hundred four".

Divisors: 1 2 4 8 16 32 64 128 181 263 362 526 724 1052 1448 2104 2896 4208 5792 8416 11584 16832 23168 33664 40231 47603 80462 95206 160924 190412 321848 380824 643696 761648 1287392 1523296 2574784 3046592 5149568 6093184 7281811 10580753 14563622 21161506 29127244 42323012 58254488 84646024 116508976 169292048 233017952 338584096 466035904 677168192 932071808 1354336384 1915116293 3830232586 7660465172 15320930344 30641860688 61283721376 122567442752 245134885504