Search a number
-
+
10155505664 = 21113137853
BaseRepresentation
bin10010111010101000…
…01011100000000000
3222012202101010210102
421131110023200000
5131244302140124
64355415421532
7506443242143
oct113524134000
928182333712
1010155505664
114341577797
121b750848a8
13c5ac96365
146c4a8205a
153e6878aae
hex25d50b800

10155505664 has 48 divisors (see below), whose sum is σ = 20461601160. Its totient is φ = 5038858240.

The previous prime is 10155505663. The next prime is 10155505669. The reversal of 10155505664 is 46650555101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10155505663) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 249362 + ... + 287214.

Almost surely, 210155505664 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 10155505664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10230800580).

10155505664 is an abundant number, since it is smaller than the sum of its proper divisors (10306095496).

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

10155505664 is an equidigital number, since it uses as much as digits as its factorization.

10155505664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38006 (or 37986 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 38.

The spelling of 10155505664 in words is "ten billion, one hundred fifty-five million, five hundred five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 131 256 262 512 524 1024 1048 2048 2096 4192 8384 16768 33536 37853 67072 75706 134144 151412 268288 302824 605648 1211296 2422592 4845184 4958743 9690368 9917486 19380736 19834972 38761472 39669944 77522944 79339888 158679776 317359552 634719104 1269438208 2538876416 5077752832 10155505664