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3742873304988 = 2232331229034861
BaseRepresentation
bin110110011101110100101…
…000100011111110011100
3111020211000021110020010210
4312131310220203332130
5442310401031224423
611543241404332420
7534261614106636
oct66356450437634
914224007406123
103742873304988
111213386449a34
12505488844110
13211c4a40455c
14cd228231a56
156756269cb93
hex36774a23f9c

3742873304988 has 144 divisors (see below), whose sum is σ = 9421717713408. Its totient is φ = 1154248444800.

The previous prime is 3742873304971. The next prime is 3742873305023. The reversal of 3742873304988 is 8894033782473.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 769977678 + ... + 769982538.

It is an arithmetic number, because the mean of its divisors is an integer number (65428595232).

Almost surely, 23742873304988 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3742873304988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4710858856704).

3742873304988 is an abundant number, since it is smaller than the sum of its proper divisors (5678844408420).

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

3742873304988 is a wasteful number, since it uses less digits than its factorization.

3742873304988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7856 (or 7823 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 66.

The spelling of 3742873304988 in words is "three trillion, seven hundred forty-two billion, eight hundred seventy-three million, three hundred four thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 12 23 31 46 62 69 92 93 124 138 186 276 372 713 961 1426 1922 2139 2852 2883 2903 3844 4278 4861 5766 5806 8556 8709 9722 11532 11612 14583 17418 19444 22103 29166 34836 44206 58332 66309 66769 88412 89993 111803 132618 133538 150691 179986 200307 223606 265236 267076 269979 301382 335409 359972 400614 447212 452073 539958 602764 670818 801228 904146 1079916 1341636 1808292 2069839 2789783 3465893 4139678 4671421 5579566 6209517 6931786 8279356 8369349 9342842 10397679 11159132 12419034 13863572 14014263 14111483 16738698 18685684 20795358 24838068 28028526 28222966 33477396 41590716 42334449 56057052 56445932 64165009 84668898 107442683 128330018 169337796 192495027 214885366 256660036 322328049 324564109 384990054 429770732 437455973 644656098 649128218 769980108 874911946 973692327 1289312196 1298256436 1312367919 1749823892 1947384654 2624735838 3894769308 5249471676 10061487379 13561135163 20122974758 27122270326 30184462137 40245949516 40683405489 54244540652 60368924274 81366810978 120737848548 162733621956 311906108749 623812217498 935718326247 1247624434996 1871436652494 3742873304988