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38387503348700 = 22521164155739769
BaseRepresentation
bin10001011101001110010011…
…00000000011101111011100
312000220210212002222212111012
420232213021200003233130
520012420101324124300
6213350550420514352
711041256055463652
oct1056471140035734
9160823762885435
1038387503348700
11112600599755a0
12437b90924b9b8
131855c066580cc
14969d7224add2
154688314b1435
hex22e9c9803bdc

38387503348700 has 144 divisors (see below), whose sum is σ = 91041108308640. Its totient is φ = 13933387776000.

The previous prime is 38387503348699. The next prime is 38387503348717. The reversal of 38387503348700 is 784330578383.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 38387503348700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3929517416 + ... + 3929527184.

It is an arithmetic number, because the mean of its divisors is an integer number (632229918810).

Almost surely, 238387503348700 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 38387503348700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45520554154320).

38387503348700 is an abundant number, since it is smaller than the sum of its proper divisors (52653604959940).

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

38387503348700 is a wasteful number, since it uses less digits than its factorization.

38387503348700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16008 (or 16001 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 59.

The spelling of 38387503348700 in words is "thirty-eight trillion, three hundred eighty-seven billion, five hundred three million, three hundred forty-eight thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 641 1100 1282 2564 3205 5573 6410 7051 9769 11146 12820 14102 16025 19538 22292 27865 28204 32050 35255 39076 48845 55730 61303 64100 70510 97690 107459 111460 122606 139325 141020 176275 195380 214918 244225 245212 278650 306515 352550 429836 488450 537295 557300 613030 705100 976900 1074590 1226060 1532575 2149180 2686475 3065150 3572293 5372950 6130300 6261929 7144586 10745900 12523858 14289172 17861465 25047716 31309645 35722930 39295223 54442637 62619290 68881219 71445860 78590446 89307325 108885274 125238580 137762438 156548225 157180892 178614650 196476115 217770548 272213185 275524876 313096450 344406095 357229300 392952230 544426370 598869007 626192900 688812190 785904460 982380575 1088852740 1197738014 1361065925 1377624380 1722030475 1964761150 2395476028 2722131850 2994345035 3444060950 3929522300 5444263700 5988690070 6888121900 11977380140 14971725175 29943450350 34897730317 59886900700 69795460634 139590921268 174488651585 348977303170 383875033487 697954606340 767750066974 872443257925 1535500133948 1744886515850 1919375167435 3489773031700 3838750334870 7677500669740 9596875837175 19193751674350 38387503348700