Search a number
-
+
780105112625152 = 213737611714177
BaseRepresentation
bin1011000101100000000110000…
…0001000000010000000000000
310210022010022122121000100002201
42301120001200020002000000
51304222220232313001102
611403051201420122544
7323213506631243206
oct26130014010020000
93708108577010081
10780105112625152
112066247a18622a6
12735b171b996454
132763979a5972a2
14da8d408ab3076
15602c4ce3b2987
hex2c58060202000

780105112625152 has 112 divisors (see below), whose sum is σ = 1583565528475512. Its totient is φ = 384203615109120.

The previous prime is 780105112625123. The next prime is 780105112625197. The reversal of 780105112625152 is 251526211501087.

It can be written as a sum of positive squares in 4 ways, for example, as 355365328490496 + 424739784134656 = 18851136^2 + 20609216^2 .

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, 454233088 + ... + 455947264.

Almost surely, 2780105112625152 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 780105112625152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791782764237756).

780105112625152 is an abundant number, since it is smaller than the sum of its proper divisors (803460415850360).

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

780105112625152 is an equidigital number, since it uses as much as digits as its factorization.

780105112625152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715037 (or 1715013 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 46.

The spelling of 780105112625152 in words is "seven hundred eighty trillion, one hundred five billion, one hundred twelve million, six hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 73 128 146 256 292 512 584 761 1024 1168 1522 2048 2336 3044 4096 4672 6088 8192 9344 12176 18688 24352 37376 48704 55553 74752 97408 111106 149504 194816 222212 299008 389632 444424 598016 779264 888848 1558528 1714177 1777696 3117056 3428354 3555392 6234112 6856708 7110784 13713416 14221568 27426832 28443136 54853664 56886272 109707328 113772544 125134921 219414656 227545088 250269842 438829312 455090176 500539684 877658624 1001079368 1304488697 1755317248 2002158736 2608977394 3510634496 4004317472 5217954788 7021268992 8008634944 10435909576 14042537984 16017269888 20871819152 32034539776 41743638304 64069079552 83487276608 95227674881 128138159104 166974553216 190455349762 256276318208 333949106432 380910699524 512552636416 667898212864 761821399048 1025105272832 1335796425728 1523642798096 2671592851456 3047285596192 5343185702912 6094571192384 10686371405824 12189142384768 24378284769536 48756569539072 97513139078144 195026278156288 390052556312576 780105112625152