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11077770440 = 2351173344887
BaseRepresentation
bin10100101000100100…
…10101110011001000
31001121000210001020002
422110102111303020
5140141402123230
65031123022132
7541342331552
oct122422256310
931530701202
1011077770440
114775126990
122191b0a948
131077086c69
147713564d2
1544c802545
hex294495cc8

11077770440 has 64 divisors (see below), whose sum is σ = 27563448960. Its totient is φ = 3973086720.

The previous prime is 11077770433. The next prime is 11077770463. The reversal of 11077770440 is 4407777011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11077770394 and 11077770403.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140324 + ... + 204563.

It is an arithmetic number, because the mean of its divisors is an integer number (430678890).

Almost surely, 211077770440 is an apocalyptic number.

11077770440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11077770440 is an abundant number, since it is smaller than the sum of its proper divisors (16485678520).

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

11077770440 is a wasteful number, since it uses less digits than its factorization.

11077770440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344982 (or 344978 counting only the distinct ones).

The product of its (nonzero) digits is 38416, while the sum is 38.

The spelling of 11077770440 in words is "eleven billion, seventy-seven million, seven hundred seventy thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 73 88 110 146 220 292 365 440 584 730 803 1460 1606 2920 3212 4015 6424 8030 16060 32120 344887 689774 1379548 1724435 2759096 3448870 3793757 6897740 7587514 13795480 15175028 18968785 25176751 30350056 37937570 50353502 75875140 100707004 125883755 151750280 201414008 251767510 276944261 503535020 553888522 1007070040 1107777044 1384721305 2215554088 2769442610 5538885220 11077770440