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387197410896 = 243317353314923
BaseRepresentation
bin1011010001001101100…
…00111001111001010000
31101000102110020110101000
411220212300321321100
522320440014122041
6453513120142000
736655053455232
oct5504660717120
91330373213330
10387197410896
1113a23393174a
126305b767900
132a68812832a
1414a51b44252
15a11298dbb6
hex5a26c39e50

387197410896 has 160 divisors (see below), whose sum is σ = 1177188405120. Its totient is φ = 121431177216.

The previous prime is 387197410889. The next prime is 387197410909. The reversal of 387197410896 is 698014791783.

It is a congruent number.

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, 25938891 + ... + 25953813.

It is an arithmetic number, because the mean of its divisors is an integer number (7357427532).

Almost surely, 2387197410896 is an apocalyptic number.

387197410896 is a gapful number since it is divisible by the number (36) 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 387197410896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588594202560).

387197410896 is an abundant number, since it is smaller than the sum of its proper divisors (789990994224).

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

387197410896 is a wasteful number, since it uses less digits than its factorization.

387197410896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18490 (or 18478 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 387197410896 in words is "three hundred eighty-seven billion, one hundred ninety-seven million, four hundred ten thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3533 3672 7066 7344 10599 14132 14923 21198 28264 29846 31797 42396 44769 56528 59692 60061 63594 84792 89538 95391 119384 120122 127188 134307 169584 179076 180183 190782 238768 240244 253691 254376 268614 358152 360366 381564 402921 480488 507382 508752 537228 540549 716304 720732 761073 763128 805842 960976 1014764 1074456 1081098 1441464 1522146 1526256 1611684 1621647 2029528 2148912 2162196 2283219 2882928 3044292 3223368 3243294 4059056 4324392 4566438 6088584 6446736 6486588 6849657 8648784 9132876 12177168 12973176 13699314 18265752 25946352 27398628 36531504 52722959 54797256 105445918 109594512 158168877 210891836 316337754 421783672 474506631 632675508 843567344 896290303 949013262 1265351016 1423519893 1792580606 1898026524 2530702032 2688870909 2847039786 3585161212 3796053048 5377741818 5694079572 7170322424 7592106096 8066612727 10755483636 11388159144 14340644848 16133225454 21510967272 22776318288 24199838181 32266450908 43021934544 48399676362 64532901816 96799352724 129065803632 193598705448 387197410896