Search a number
-
+
2828370485376 = 27322455182713
BaseRepresentation
bin101001001010001000000…
…001001010000010000000
3101000101112000001120111100
4221022020001022002000
5332320000321013001
610003200243214400
7411225441311322
oct51121001120200
911011460046440
102828370485376
119a0561449107
123981a7677400
13176939107ca7
149ac72a85612
154d88bd19586
hex2928804a080

2828370485376 has 48 divisors (see below), whose sum is σ = 8138930696910. Its totient is φ = 942790161408.

The previous prime is 2828370485323. The next prime is 2828370485407. The reversal of 2828370485376 is 6735840738282.

2828370485376 is a `hidden beast` number, since 2 + 8 + 2 + 83 + 7 + 0 + 485 + 3 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2738442470976 + 89928014400 = 1654824^2 + 299880^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×28283704853762 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1227590205 + ... + 1227592508.

Almost surely, 22828370485376 is an apocalyptic number.

It is an amenable number.

2828370485376 is an abundant number, since it is smaller than the sum of its proper divisors (5310560211534).

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

2828370485376 is a wasteful number, since it uses less digits than its factorization.

2828370485376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2455182733 (or 2455182718 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 2828370485376 in words is "two trillion, eight hundred twenty-eight billion, three hundred seventy million, four hundred eighty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 2455182713 4910365426 7365548139 9820730852 14731096278 19641461704 22096644417 29462192556 39282923408 44193288834 58924385112 78565846816 88386577668 117848770224 157131693632 176773155336 235697540448 314263387264 353546310672 471395080896 707092621344 942790161792 1414185242688 2828370485376