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38377852080 = 2435837432593
BaseRepresentation
bin100011101111011111…
…111000110010110000
310200001121200212212220
4203233133320302300
51112044212231310
625344110321040
72526016234401
oct435737706260
9120047625786
1038377852080
111530432a327
1275307b9180
133807c93819
141c00d8d9a8
15ee93b0670
hex8ef7f8cb0

38377852080 has 160 divisors (see below), whose sum is σ = 120613280256. Its totient is φ = 10093289472.

The previous prime is 38377852067. The next prime is 38377852081. The reversal of 38377852080 is 8025877383.

It is not an unprimeable number, because it can be changed into a prime (38377852081) 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, 14799264 + ... + 14801856.

Almost surely, 238377852080 is an apocalyptic number.

38377852080 is a gapful number since it is divisible by the number (30) 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 38377852080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60306640128).

38377852080 is an abundant number, since it is smaller than the sum of its proper divisors (82235428176).

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

38377852080 is a wasteful number, since it uses less digits than its factorization.

38377852080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3435 (or 3429 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 38377852080 in words is "thirty-eight billion, three hundred seventy-seven million, eight hundred fifty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 83 120 166 240 249 332 415 498 664 743 830 996 1245 1328 1486 1660 1992 2229 2490 2593 2972 3320 3715 3984 4458 4980 5186 5944 6640 7430 7779 8916 9960 10372 11145 11888 12965 14860 15558 17832 19920 20744 22290 25930 29720 31116 35664 38895 41488 44580 51860 59440 61669 62232 77790 89160 103720 123338 124464 155580 178320 185007 207440 215219 246676 308345 311160 370014 430438 493352 616690 622320 645657 740028 860876 925035 986704 1076095 1233380 1291314 1480056 1721752 1850070 1926599 2152190 2466760 2582628 2960112 3228285 3443504 3700140 3853198 4304380 4933520 5165256 5779797 6456570 7400280 7706396 8608760 9632995 10330512 11559594 12913140 14800560 15412792 17217520 19265990 23119188 25826280 28898985 30825584 38531980 46238376 51652560 57797970 77063960 92476752 115595940 154127920 159907717 231191880 319815434 462383760 479723151 639630868 799538585 959446302 1279261736 1599077170 1918892604 2398615755 2558523472 3198154340 3837785208 4797231510 6396308680 7675570416 9594463020 12792617360 19188926040 38377852080