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1146287217152 = 2971129075873
BaseRepresentation
bin10000101011100100000…
…010101101101000000000
311001120202201122000202202
4100223210002231220000
5122240044011422102
62234332545132332
7145550031403340
oct20534402555000
94046681560682
101146287217152
11402157283370
121661a932a0a8
138412c599c6c
143d6a2a8ad20
151ec3e406e02
hex10ae40ada00

1146287217152 has 80 divisors (see below), whose sum is σ = 2855483433792. Its totient is φ = 446605393920.

The previous prime is 1146287217121. The next prime is 1146287217167. The reversal of 1146287217152 is 2517127826411.

It is a super-2 number, since 2×11462872171522 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1146287217097 and 1146287217106.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14498513 + ... + 14577360.

Almost surely, 21146287217152 is an apocalyptic number.

It is an amenable number.

1146287217152 is an abundant number, since it is smaller than the sum of its proper divisors (1709196216640).

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

1146287217152 is an equidigital number, since it uses as much as digits as its factorization.

1146287217152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29075909 (or 29075893 counting only the distinct ones).

The product of its digits is 376320, while the sum is 47.

The spelling of 1146287217152 in words is "one trillion, one hundred forty-six billion, two hundred eighty-seven million, two hundred seventeen thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 512 616 704 896 1232 1408 1792 2464 2816 3584 4928 5632 9856 19712 39424 29075873 58151746 116303492 203531111 232606984 319834603 407062222 465213968 639669206 814124444 930427936 1279338412 1628248888 1860855872 2238842221 2558676824 3256497776 3721711744 4477684442 5117353648 6512995552 7443423488 8955368884 10234707296 13025991104 14886846976 17910737768 20469414592 26051982208 35821475536 40938829184 52103964416 71642951072 81877658368 104207928832 143285902144 163755316736 286571804288 573143608576 1146287217152