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38354835480 = 233513103323801
BaseRepresentation
bin100011101110001000…
…000101100000011000
310200000000101112001020
4203232020011200120
51112022314213410
625341525122440
72525316502533
oct435610054030
9120000345036
1038354835480
11152a2339645
127524b59420
133803295330
141bdbcbba1a
15ee7365a70
hex8ee205818

38354835480 has 128 divisors (see below), whose sum is σ = 124040790720. Its totient is φ = 9431654400.

The previous prime is 38354835461. The next prime is 38354835503. The reversal of 38354835480 is 8453845383.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1599580 + ... + 1623380.

Almost surely, 238354835480 is an apocalyptic number.

38354835480 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 38354835480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62020395360).

38354835480 is an abundant number, since it is smaller than the sum of its proper divisors (85685955240).

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

38354835480 is a wasteful number, since it uses less digits than its factorization.

38354835480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24861 (or 24857 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 51.

The spelling of 38354835480 in words is "thirty-eight billion, three hundred fifty-four million, eight hundred thirty-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1033 1560 2066 3099 4132 5165 6198 8264 10330 12396 13429 15495 20660 23801 24792 26858 30990 40287 41320 47602 53716 61980 67145 71403 80574 95204 107432 119005 123960 134290 142806 161148 190408 201435 238010 268580 285612 309413 322296 357015 402870 476020 537160 571224 618826 714030 805740 928239 952040 1237652 1428060 1547065 1611480 1856478 2475304 2856120 3094130 3712956 4641195 6188260 7425912 9282390 12376520 18564780 24586433 37129560 49172866 73759299 98345732 122932165 147518598 196691464 245864330 295037196 319623629 368796495 491728660 590074392 639247258 737592990 958870887 983457320 1278494516 1475185980 1598118145 1917741774 2556989032 2950371960 3196236290 3835483548 4794354435 6392472580 7670967096 9588708870 12784945160 19177417740 38354835480