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38358652842216 = 2334731272790101
BaseRepresentation
bin10001011100011000100011…
…11000000111000011101000
312000211001101110200021210000
420232030101320013003220
520011432010111422331
6213325415530223000
711036215114306110
oct1056142170070350
9160731343607700
1038358652842216
11112498a4581003
1243761b7284a60
1318532894826b5
149687d6746040
15467be37480e6
hex22e311e070e8

38358652842216 has 160 divisors (see below), whose sum is σ = 126749192993280. Its totient is φ = 10606079088000.

The previous prime is 38358652842199. The next prime is 38358652842299. The reversal of 38358652842216 is 61224825685383.

38358652842216 is a `hidden beast` number, since 3 + 8 + 3 + 5 + 86 + 528 + 4 + 2 + 21 + 6 = 666.

It is a super-2 number, since 2×383586528422162 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 136254435 + ... + 136535666.

It is an arithmetic number, because the mean of its divisors is an integer number (792182456208).

Almost surely, 238358652842216 is an apocalyptic number.

38358652842216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38358652842216 is an abundant number, since it is smaller than the sum of its proper divisors (88390540151064).

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

38358652842216 is a wasteful number, since it uses less digits than its factorization.

38358652842216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272790157 (or 272790144 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 63.

The spelling of 38358652842216 in words is "thirty-eight trillion, three hundred fifty-eight billion, six hundred fifty-two million, eight hundred forty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 31 36 42 54 56 62 63 72 81 84 93 108 124 126 162 168 186 189 216 217 248 252 279 324 372 378 434 504 558 567 648 651 744 756 837 868 1116 1134 1302 1512 1674 1736 1953 2232 2268 2511 2604 3348 3906 4536 5022 5208 5859 6696 7812 10044 11718 15624 17577 20088 23436 35154 46872 70308 140616 272790101 545580202 818370303 1091160404 1636740606 1909530707 2182320808 2455110909 3273481212 3819061414 4910221818 5728592121 6546962424 7365332727 7638122828 8456493131 9820443636 11457184242 14730665454 15276245656 16912986262 17185776363 19640887272 22095998181 22914368484 25369479393 29461330908 33825972524 34371552726 44191996362 45828736968 50738958786 51557329089 58922661816 59195451917 67651945048 68743105452 76108438179 88383992724 101477917572 103114658178 118390903834 137486210904 152216876358 154671987267 176767985448 177586355751 202955835144 206229316356 228325314537 236781807668 304433752716 309343974534 355172711502 412458632712 456650629074 473563615336 532759067253 608867505432 618687949068 684975943611 710345423004 913301258148 1065518134506 1237375898136 1369951887222 1420690846008 1598277201759 1826602516296 2131036269012 2739903774444 3196554403518 4262072538024 4794831605277 5479807548888 6393108807036 9589663210554 12786217614072 19179326421108 38358652842216