Search a number
-
+
920580615312 = 243236019111523
BaseRepresentation
bin11010110010101101110…
…00010110110010010000
310021000011211211122221220
431121112320112302100
5110040322114142222
61542524153245040
7123336563056311
oct15312670266220
93230154748856
10920580615312
11325463837786
1212a4b8703780
1368a6c5332a7
14327b084a608
1518e2e236b5c
hexd656e16c90

920580615312 has 160 divisors (see below), whose sum is σ = 2490056626176. Its totient is φ = 292516224000.

The previous prime is 920580615301. The next prime is 920580615313. The reversal of 920580615312 is 213516085029.

It is not an unprimeable number, because it can be changed into a prime (920580615313) by changing a digit.

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, 604451383 + ... + 604452905.

Almost surely, 2920580615312 is an apocalyptic number.

920580615312 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920580615312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245028313088).

920580615312 is an abundant number, since it is smaller than the sum of its proper divisors (1569476010864).

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

920580615312 is a wasteful number, since it uses less digits than its factorization.

920580615312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069 (or 3063 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 920580615312 in words is "nine hundred twenty billion, five hundred eighty million, six hundred fifteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 601 911 1104 1202 1523 1803 1822 2404 2733 3046 3606 3644 4569 4808 5466 6092 7212 7288 9138 9616 10932 12184 13823 14424 14576 18276 20953 21864 24368 27646 28848 35029 36552 41469 41906 43728 55292 62859 70058 73104 82938 83812 105087 110584 125718 140116 165876 167624 210174 221168 251436 280232 331752 335248 420348 502872 547511 560464 663504 840696 915323 1005744 1095022 1387453 1642533 1681392 1830646 2190044 2745969 2774906 3285066 3661292 4162359 4380088 5491938 5549812 6570132 7322584 8324718 8760176 10983876 11099624 12592753 13140264 14645168 16649436 21052429 21967752 22199248 25185506 26280528 31911419 33298872 37778259 42104858 43935504 50371012 63157287 63822838 66597744 75556518 84209716 95734257 100742024 126314574 127645676 151113036 168419432 191468514 201484048 252629148 255291352 302226072 336838864 382937028 505258296 510582704 604452144 765874056 833859253 1010516592 1531748112 1667718506 2501577759 3335437012 5003155518 6670874024 10006311036 13341748048 19178762819 20012622072 38357525638 40025244144 57536288457 76715051276 115072576914 153430102552 230145153828 306860205104 460290307656 920580615312