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1016611665056 = 25135821419821
BaseRepresentation
bin11101100101100101100…
…01101111010010100000
310121012001102012102222222
432302302301233102200
5113124010041240211
62055005220050212
7133306404401261
oct16626261572240
93535042172888
101016611665056
113621628667a9
12145039233968
1374b349a3050
14372c071a968
151b69ecd11db
hexecb2c6f4a0

1016611665056 has 48 divisors (see below), whose sum is σ = 2155787649288. Its totient is φ = 469123660800.

The previous prime is 1016611665029. The next prime is 1016611665079. The reversal of 1016611665056 is 6505661166101.

1016611665056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 849870109456 + 166741555600 = 921884^2 + 408340^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1016611664998 and 1016611665016.

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, 2211626 + ... + 2631446.

Almost surely, 21016611665056 is an apocalyptic number.

1016611665056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1016611665056 is an abundant number, since it is smaller than the sum of its proper divisors (1139175984232).

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

1016611665056 is a wasteful number, since it uses less digits than its factorization.

1016611665056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425665 (or 425657 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 44.

The spelling of 1016611665056 in words is "one trillion, sixteen billion, six hundred eleven million, six hundred sixty-five thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 5821 11642 23284 46568 75673 93136 151346 186272 302692 419821 605384 839642 1210768 1679284 2421536 3358568 5457673 6717136 10915346 13434272 21830692 43661384 87322768 174645536 2443778041 4887556082 9775112164 19550224328 31769114533 39100448656 63538229066 78200897312 127076458132 254152916264 508305832528 1016611665056