Search a number
-
+
425293791156 = 2232133736766923
BaseRepresentation
bin1100011000001010111…
…11000011111110110100
31111122202110022002111200
412030011133003332310
523432000202304111
6523213253532500
742504114402243
oct6140537037664
91448673262450
10425293791156
11154403292033
126a512044130
13311499aa580
141682758495a
15b0e22a0256
hex63057c3fb4

425293791156 has 144 divisors (see below), whose sum is σ = 1192292285184. Its totient is φ = 126974055168.

The previous prime is 425293791151. The next prime is 425293791163. The reversal of 425293791156 is 651197392524.

425293791156 is a `hidden beast` number, since 4 + 252 + 9 + 379 + 1 + 15 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425293791151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6321511 + ... + 6388433.

It is an arithmetic number, because the mean of its divisors is an integer number (8279807536).

Almost surely, 2425293791156 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 425293791156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596146142592).

425293791156 is an abundant number, since it is smaller than the sum of its proper divisors (766998494028).

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

425293791156 is a wasteful number, since it uses less digits than its factorization.

425293791156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67350 (or 67345 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The spelling of 425293791156 in words is "four hundred twenty-five billion, two hundred ninety-three million, seven hundred ninety-one thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 52 74 78 111 117 148 156 222 234 333 367 444 468 481 666 734 962 1101 1332 1443 1468 1924 2202 2886 3303 4329 4404 4771 5772 6606 8658 9542 13212 13579 14313 17316 19084 27158 28626 40737 42939 54316 57252 66923 81474 85878 122211 133846 162948 171756 176527 200769 244422 267692 353054 401538 488844 529581 602307 706108 803076 869999 1059162 1204614 1588743 1739998 2118324 2409228 2476151 2609997 3177486 3479996 4952302 5219994 6354972 7428453 7829991 9904604 10439988 14856906 15659982 22285359 24560741 29713812 31319964 32189963 44570718 49121482 64379926 73682223 89141436 96569889 98242964 128759852 147364446 193139778 221046669 289709667 294728892 319289633 386279556 442093338 579419334 638579266 884186676 908747417 957868899 1158838668 1277158532 1817494834 1915737798 2726242251 2873606697 3634989668 3831475596 5452484502 5747213394 8178726753 10904969004 11494426788 11813716421 16357453506 23627432842 32714907012 35441149263 47254865684 70882298526 106323447789 141764597052 212646895578 425293791156