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38497196800 = 28528117417
BaseRepresentation
bin100011110110100111…
…001001101100000000
310200100221021020001201
4203312213021230000
51112320240244200
625404012310544
72531665526236
oct436647115400
9120327236051
1038497196800
1115365733827
127564772454
13382691b3ba
141c12b78956
151004ad6c6a
hex8f69c9b00

38497196800 has 108 divisors (see below), whose sum is σ = 95416932856. Its totient is φ = 15377817600.

The previous prime is 38497196791. The next prime is 38497196851. The reversal of 38497196800 is 869179483.

It is a super-3 number, since 3×384971968003 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5186692 + ... + 5194108.

Almost surely, 238497196800 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 38497196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47708466428).

38497196800 is an abundant number, since it is smaller than the sum of its proper divisors (56919736056).

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

38497196800 is an equidigital number, since it uses as much as digits as its factorization.

38497196800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8254 (or 8235 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 55.

The spelling of 38497196800 in words is "thirty-eight billion, four hundred ninety-seven million, one hundred ninety-six thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 811 1280 1600 1622 3200 3244 4055 6400 6488 7417 8110 12976 14834 16220 20275 25952 29668 32440 37085 40550 51904 59336 64880 74170 81100 103808 118672 129760 148340 162200 185425 207616 237344 259520 296680 324400 370850 474688 519040 593360 648800 741700 949376 1038080 1186720 1297600 1483400 1898752 2373440 2595200 2966800 4746880 5190400 5933600 6015187 9493760 11867200 12030374 23734400 24060748 30075935 47468800 48121496 60151870 96242992 120303740 150379675 192485984 240607480 300759350 384971968 481214960 601518700 769943936 962429920 1203037400 1539887872 1924859840 2406074800 3849719680 4812149600 7699439360 9624299200 19248598400 38497196800