Search a number
-
+
1000778153800 = 235211317442157
BaseRepresentation
bin11101001000000110000…
…01101011111101001000
310112200011221122201211011
432210003001223331020
5112344043201410200
62043430125013304
7132206133644005
oct16440301537510
93480157581734
101000778153800
113564781a5407
12141b5a6b4234
13734b056cb89
143661b9268ac
151b074c255ba
hexe90306bf48

1000778153800 has 48 divisors (see below), whose sum is σ = 2327020073460. Its totient is φ = 400274983680.

The previous prime is 1000778153797. The next prime is 1000778153801. The reversal of 1000778153800 is 83518770001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 506650698436 + 494127455364 = 711794^2 + 702942^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1000778153801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2042322 + ... + 2484478.

Almost surely, 21000778153800 is an apocalyptic number.

1000778153800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000778153800 is an abundant number, since it is smaller than the sum of its proper divisors (1326241919660).

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

1000778153800 is a wasteful number, since it uses less digits than its factorization.

1000778153800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453490 (or 453481 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 40.

The spelling of 1000778153800 in words is "one trillion, seven hundred seventy-eight million, one hundred fifty-three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 11317 22634 45268 56585 90536 113170 226340 282925 442157 452680 565850 884314 1131700 1768628 2210785 2263400 3537256 4421570 8843140 11053925 17686280 22107850 44215700 88431400 5003890769 10007781538 20015563076 25019453845 40031126152 50038907690 100077815380 125097269225 200155630760 250194538450 500389076900 1000778153800