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38622348336 = 243111341137239
BaseRepresentation
bin100011111110000100…
…100100010000110000
310200200122202120200210
4203332010210100300
51113044310121321
625424242544120
72535045354435
oct437604442060
9120618676623
1038622348336
111541a343a50
12759a668040
13384682a070
141c25635b8c
151010aa8b76
hex8fe124430

38622348336 has 160 divisors (see below), whose sum is σ = 120077314560. Its totient is φ = 10539878400.

The previous prime is 38622348269. The next prime is 38622348341. The reversal of 38622348336 is 63384322683.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212805 + ... + 350043.

It is an arithmetic number, because the mean of its divisors is an integer number (750483216).

Almost surely, 238622348336 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 38622348336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60038657280).

38622348336 is an abundant number, since it is smaller than the sum of its proper divisors (81454966224).

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

38622348336 is a wasteful number, since it uses less digits than its factorization.

38622348336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137315 (or 137309 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 48.

The spelling of 38622348336 in words is "thirty-eight billion, six hundred twenty-two million, three hundred forty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 41 44 48 52 66 78 82 88 104 123 132 143 156 164 176 208 246 264 286 312 328 429 451 492 528 533 572 624 656 858 902 984 1066 1144 1353 1599 1716 1804 1968 2132 2288 2706 3198 3432 3608 4264 5412 5863 6396 6864 7216 8528 10824 11726 12792 17589 21648 23452 25584 35178 46904 70356 93808 137239 140712 274478 281424 411717 548956 823434 1097912 1509629 1646868 1784107 2195824 3019258 3293736 3568214 4528887 5352321 5626799 6038516 6587472 7136428 9057774 10704642 11253598 12077032 14272856 16880397 18115548 19625177 21409284 22507196 24154064 28545712 33760794 36231096 39250354 42818568 45014392 58875531 61894789 67521588 72462192 73148387 78500708 85637136 90028784 117751062 123789578 135043176 146296774 157001416 185684367 219445161 235502124 247579156 270086352 292593548 314002832 371368734 438890322 471004248 495158312 585187096 742737468 804632257 877780644 942008496 990316624 1170374192 1485474936 1609264514 1755561288 2413896771 2970949872 3218529028 3511122576 4827793542 6437058056 9655587084 12874116112 19311174168 38622348336