Search a number
-
+
1015552541536 = 251310742154193
BaseRepresentation
bin11101100011100111010…
…01100000001101100000
310121002022121021101122221
432301303221200031200
5113114322422312121
62054312143240424
7133241224113511
oct16616351401540
93532277241587
101015552541536
11361769a30605
121449a25a9114
13749c6434b40
143721dbbca08
151b63bd21b41
hexec73a60360

1015552541536 has 96 divisors (see below), whose sum is σ = 2178492146208. Its totient is φ = 463224545280.

The previous prime is 1015552541513. The next prime is 1015552541537. The reversal of 1015552541536 is 6351452555101.

It is a happy number.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1015552541492 and 1015552541501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1015552541537) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18712456 + ... + 18766648.

It is an arithmetic number, because the mean of its divisors is an integer number (22692626523).

Almost surely, 21015552541536 is an apocalyptic number.

1015552541536 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 1015552541536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089246073104).

1015552541536 is an abundant number, since it is smaller than the sum of its proper divisors (1162939604672).

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

1015552541536 is a wasteful number, since it uses less digits than its factorization.

1015552541536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54744 (or 54736 counting only the distinct ones).

The product of its (nonzero) digits is 450000, while the sum is 43.

The spelling of 1015552541536 in words is "one trillion, fifteen billion, five hundred fifty-two million, five hundred forty-one thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 107 208 214 416 421 428 842 856 1391 1684 1712 2782 3368 3424 5473 5564 6736 10946 11128 13472 21892 22256 43784 44512 45047 54193 87568 90094 108386 175136 180188 216772 360376 433544 585611 704509 720752 867088 1171222 1409018 1441504 1734176 2342444 2818036 4684888 5636072 5798651 9369776 11272144 11597302 18739552 22544288 22815253 23194604 45630506 46389208 75382463 91261012 92778416 150764926 182522024 185556832 296598289 301529852 365044048 593196578 603059704 730088096 1186393156 1206119408 2372786312 2412238816 2441232071 4745572624 4882464142 9491145248 9764928284 19529856568 31736016923 39059713136 63472033846 78119426272 126944067692 253888135384 507776270768 1015552541536