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101749740048 = 243211531211999
BaseRepresentation
bin101111011000011000…
…0011101001000010000
3100201122010002100100200
41132300300131020100
53131340413140143
6114424310015200
710231311343305
oct1366060351020
9321563070320
10101749740048
113a174091760
1217877947500
139797182c98
144cd35b30ac
1529a7b661d3
hex17b0c1d210

101749740048 has 120 divisors (see below), whose sum is σ = 316506528000. Its totient is φ = 30251470080.

The previous prime is 101749740041. The next prime is 101749740097. The reversal of 101749740048 is 840047947101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101749739985 and 101749740012.

It is not an unprimeable number, because it can be changed into a prime (101749740041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 522048 + ... + 689951.

It is an arithmetic number, because the mean of its divisors is an integer number (2637554400).

Almost surely, 2101749740048 is an apocalyptic number.

101749740048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101749740048 is an abundant number, since it is smaller than the sum of its proper divisors (214756787952).

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

101749740048 is a wasteful number, since it uses less digits than its factorization.

101749740048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212077 (or 1212068 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 101749740048 in words is "one hundred one billion, seven hundred forty-nine million, seven hundred forty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 53 66 72 88 99 106 132 144 159 176 198 212 264 318 396 424 477 528 583 636 792 848 954 1166 1272 1584 1749 1908 2332 2544 3498 3816 4664 5247 6996 7632 9328 10494 13992 20988 27984 41976 83952 1211999 2423998 3635997 4847996 7271994 9695992 10907991 13331989 14543988 19391984 21815982 26663978 29087976 39995967 43631964 53327956 58175952 64235947 79991934 87263928 106655912 119987901 128471894 159983868 174527856 192707841 213311824 239975802 256943788 319967736 385415682 479951604 513887576 578123523 639935472 706595417 770831364 959903208 1027775152 1156247046 1413190834 1541662728 1919806416 2119786251 2312494092 2826381668 3083325456 4239572502 4624988184 5652763336 6359358753 8479145004 9249976368 11305526672 12718717506 16958290008 25437435012 33916580016 50874870024 101749740048