Search a number
-
+
1015116156656 = 247232647148873
BaseRepresentation
bin11101100010110011010…
…00110100111011110000
310121001012012010202010222
432301121220310323300
5113112424214003111
62054200554112212
7133224344651420
oct16613150647360
93531165122128
101015116156656
11361565674148
121448a041b668
1374956bc4334
14371bbc66480
151b6138727db
hexec59a34ef0

1015116156656 has 80 divisors (see below), whose sum is σ = 2346387631104. Its totient is φ = 415974569472.

The previous prime is 1015116156611. The next prime is 1015116156673. The reversal of 1015116156656 is 6566516115101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6744236 + ... + 6893108.

Almost surely, 21015116156656 is an apocalyptic number.

1015116156656 is a gapful number since it is divisible by the number (16) 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 1015116156656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173193815552).

1015116156656 is an abundant number, since it is smaller than the sum of its proper divisors (1331271474448).

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

1015116156656 is a wasteful number, since it uses less digits than its factorization.

1015116156656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151558 (or 151552 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 44.

The spelling of 1015116156656 in words is "one trillion, fifteen billion, one hundred sixteen million, one hundred fifty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 644 1288 2576 2647 5294 10588 18529 21176 37058 42352 60881 74116 121762 148232 148873 243524 296464 297746 426167 487048 595492 852334 974096 1042111 1190984 1704668 2084222 2381968 3409336 3424079 4168444 6818672 6848158 8336888 13696316 16673776 23968553 27392632 47937106 54785264 95874212 191748424 383496848 394066831 788133662 1576267324 2758467817 3152534648 5516935634 6305069296 9063537113 11033871268 18127074226 22067742536 36254148452 44135485072 63444759791 72508296904 126889519582 145016593808 253779039164 507558078328 1015116156656