Search a number
-
+
1147932245056 = 2619926732
BaseRepresentation
bin10000101101000110000…
…101111111110001000000
311001202000101001002211011
4100231012011333301000
5122301431123320211
62235204111530304
7145635555042142
oct20550605776100
94052011032734
101147932245056
1140292090a163
12166588229994
1384332339c5c
143d7bb342c92
151ecd8a4c921
hex10b4617fc40

1147932245056 has 63 divisors (see below), whose sum is σ = 2292839331381. Its totient is φ = 570233309184.

The previous prime is 1147932245017. The next prime is 1147932245063. The reversal of 1147932245056 is 6505422397411.

The square root of 1147932245056 is 1071416.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 375670926400 + 772261318656 = 612920^2 + 878784^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1705693936 + ... + 1705694608.

Almost surely, 21147932245056 is an apocalyptic number.

1147932245056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1147932245056 is the 1071416-th square number.

It is an amenable number.

1147932245056 is a deficient number, since it is larger than the sum of its proper divisors (1144907086325).

1147932245056 is an frugal number, since it uses more digits than its factorization.

1147932245056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 49.

Multiplying 1147932245056 by its sum of digits (49), we get a square (56248680007744 = 74999122).

The spelling of 1147932245056 in words is "one trillion, one hundred forty-seven billion, nine hundred thirty-two million, two hundred forty-five thousand, fifty-six".

Divisors: 1 2 4 8 16 32 64 199 398 673 796 1346 1592 2692 3184 5384 6368 10768 12736 21536 39601 43072 79202 133927 158404 267854 316808 452929 535708 633616 905858 1071416 1267232 1811716 2142832 2534464 3623432 4285664 7246864 8571328 14493728 26651473 28987456 53302946 90132871 106605892 180265742 213211784 360531484 426423568 721062968 852847136 1442125936 1705694272 2884251872 5768503744 17936441329 35872882658 71745765316 143491530632 286983061264 573966122528 1147932245056