Search a number
-
+
1016547378944 = 28231391242067
BaseRepresentation
bin11101100101011101111…
…00100000011100000000
310121011212221020101000212
432302232330200130000
5113123342112111234
62054555002133252
7133304664103226
oct16625674403400
93534787211025
101016547378944
1136212a548689
1214501b7b1228
1374b24585226
14372b5d84b16
151b6993335ce
hexecaef20700

1016547378944 has 72 divisors (see below), whose sum is σ = 2132581073280. Its totient is φ = 482676784128.

The previous prime is 1016547378941. The next prime is 1016547378947. The reversal of 1016547378944 is 4498737456101.

It is an interprime number because it is at equal distance from previous prime (1016547378941) and next prime (1016547378947).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1016547378941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 197399 + ... + 1439465.

Almost surely, 21016547378944 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 1016547378944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066290536640).

1016547378944 is an abundant number, since it is smaller than the sum of its proper divisors (1116033694336).

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

1016547378944 is a wasteful number, since it uses less digits than its factorization.

1016547378944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242245 (or 1242231 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 59.

The spelling of 1016547378944 in words is "one trillion, sixteen billion, five hundred forty-seven million, three hundred seventy-eight thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 139 184 256 278 368 556 736 1112 1472 2224 2944 3197 4448 5888 6394 8896 12788 17792 25576 35584 51152 102304 204608 409216 818432 1242067 2484134 4968268 9936536 19873072 28567541 39746144 57135082 79492288 114270164 158984576 172647313 228540328 317969152 345294626 457080656 690589252 914161312 1381178504 1828322624 2762357008 3656645248 3970888199 5524714016 7313290496 7941776398 11049428032 15883552796 22098856064 31767105592 44197712128 63534211184 127068422368 254136844736 508273689472 1016547378944