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11572077607720 = 2357113823444401
BaseRepresentation
bin1010100001100101010110…
…0100110011101100101000
31111222021112222121020102121
42220121111210303230220
53004044103331421340
640340050012041024
72303024604465010
oct250312544635450
944867488536377
1011572077607720
113761766142953
12136a8b5463174
1365c31c267046
142c013d2acc40
15151039ee094a
hexa8655933b28

11572077607720 has 128 divisors (see below), whose sum is σ = 30056649315840. Its totient is φ = 3927671193600.

The previous prime is 11572077607711. The next prime is 11572077607729. The reversal of 11572077607720 is 2770677027511.

It is an interprime number because it is at equal distance from previous prime (11572077607711) and next prime (11572077607729).

It is not an unprimeable number, because it can be changed into a prime (11572077607729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25817520 + ... + 26261920.

It is an arithmetic number, because the mean of its divisors is an integer number (234817572780).

Almost surely, 211572077607720 is an apocalyptic number.

11572077607720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11572077607720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15028324657920).

11572077607720 is an abundant number, since it is smaller than the sum of its proper divisors (18484571708120).

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

11572077607720 is a wasteful number, since it uses less digits than its factorization.

11572077607720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445355 (or 445351 counting only the distinct ones).

The product of its (nonzero) digits is 2016840, while the sum is 52.

The spelling of 11572077607720 in words is "eleven trillion, five hundred seventy-two billion, seventy-seven million, six hundred seven thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 113 140 226 280 452 565 791 823 904 1130 1582 1646 2260 3164 3292 3955 4115 4520 5761 6328 6584 7910 8230 11522 15820 16460 23044 28805 31640 32920 46088 57610 92999 115220 185998 230440 371996 444401 464995 650993 743992 888802 929990 1301986 1777604 1859980 2222005 2603972 3110807 3254965 3555208 3719960 4444010 5207944 6221614 6509930 8888020 12443228 13019860 15554035 17776040 24886456 26039720 31108070 50217313 62216140 100434626 124432280 200869252 251086565 351521191 365742023 401738504 502173130 703042382 731484046 1004346260 1406084764 1462968092 1757605955 1828710115 2008692520 2560194161 2812169528 2925936184 3515211910 3657420230 5120388322 7030423820 7314840460 10240776644 12800970805 14060847640 14629680920 20481553288 25601941610 41328848599 51203883220 82657697198 102407766440 165315394396 206644242995 289301940193 330630788792 413288485990 578603880386 826576971980 1157207760772 1446509700965 1653153943960 2314415521544 2893019401930 5786038803860 11572077607720