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428725557204 = 223731631260921
BaseRepresentation
bin1100011110100100000…
…10001101011111010100
31111222121121202212111220
412033102002031133110
524011012220312304
6524542004330340
742655135052130
oct6172202153724
91458547685456
10428725557204
1115590444471a
126b10b3a39b0
1331575976179
1416a712603c0
15b2436cead9
hex63d208d7d4

428725557204 has 96 divisors (see below), whose sum is σ = 1182022582272. Its totient is φ = 118353312000.

The previous prime is 428725557179. The next prime is 428725557223. The reversal of 428725557204 is 402755527824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1512664 + ... + 1773584.

It is an arithmetic number, because the mean of its divisors is an integer number (12312735232).

Almost surely, 2428725557204 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 428725557204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591011291136).

428725557204 is an abundant number, since it is smaller than the sum of its proper divisors (753297025068).

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

428725557204 is a wasteful number, since it uses less digits than its factorization.

428725557204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261597 (or 261595 counting only the distinct ones).

The product of its (nonzero) digits is 6272000, while the sum is 51.

The spelling of 428725557204 in words is "four hundred twenty-eight billion, seven hundred twenty-five million, five hundred fifty-seven thousand, two hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 631 651 868 1262 1302 1893 2524 2604 3786 4417 7572 8834 13251 17668 19561 26502 39122 53004 58683 78244 117366 136927 234732 260921 273854 410781 521842 547708 782763 821562 1043684 1565526 1643124 1826447 3131052 3652894 5479341 7305788 8088551 10958682 16177102 21917364 24265653 32354204 48531306 56619857 97062612 113239714 164641151 169859571 226479428 329282302 339719142 493923453 658564604 679438284 987846906 1152488057 1975693812 2304976114 3457464171 4609952228 5103875681 6914928342 10207751362 13829856684 15311627043 20415502724 30623254086 35727129767 61246508172 71454259534 107181389301 142908519068 214362778602 428725557204