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490583061504 = 21032127419147
BaseRepresentation
bin1110010001110010000…
…01110111010000000000
31201220021120120200010200
413020321001313100000
531014203230432004
61013212025325200
750305051135224
oct7107101672000
91656246520120
10490583061504
1117a0673921a8
127b0b3336800
13373531a8413
1419a5c6b8784
15cb64049239
hex7239077400

490583061504 has 132 divisors (see below), whose sum is σ = 1427705270784. Its totient is φ = 162239680512.

The previous prime is 490583061491. The next prime is 490583061539. The reversal of 490583061504 is 405160385094.

490583061504 is a `hidden beast` number, since 4 + 9 + 0 + 5 + 83 + 0 + 61 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 490583061504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 960859 + ... + 1380005.

Almost surely, 2490583061504 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 490583061504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713852635392).

490583061504 is an abundant number, since it is smaller than the sum of its proper divisors (937122209280).

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

490583061504 is a wasteful number, since it uses less digits than its factorization.

490583061504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419300 (or 419279 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 490583061504 in words is "four hundred ninety billion, five hundred eighty-three million, sixty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 128 144 192 254 256 288 381 384 508 512 576 762 768 1016 1024 1143 1152 1524 1536 2032 2286 2304 3048 3072 4064 4572 4608 6096 8128 9144 9216 12192 16256 18288 24384 32512 36576 48768 65024 73152 97536 130048 146304 195072 292608 390144 419147 585216 838294 1170432 1257441 1676588 2514882 3353176 3772323 5029764 6706352 7544646 10059528 13412704 15089292 20119056 26825408 30178584 40238112 53231669 53650816 60357168 80476224 106463338 107301632 120714336 159695007 160952448 212926676 214603264 241428672 319390014 321904896 425853352 429206528 479085021 482857344 638780028 643809792 851706704 958170042 965714688 1277560056 1287619584 1703413408 1916340084 1931429376 2555120112 3406826816 3832680168 3862858752 5110240224 6813653632 7665360336 10220480448 13627307264 15330720672 20440960896 27254614528 30661441344 40881921792 54509229056 61322882688 81763843584 122645765376 163527687168 245291530752 490583061504