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6454187927440 = 2451179238338959
BaseRepresentation
bin101110111101011101110…
…0101000010011110010000
3211212000101110020211221121
41131322323211002132100
51321221134102134230
621421002450332024
71234204536125011
oct135727345023620
924760343224847
106454187927440
112069229908760
12882a4658a014
1337a82027a816
14184554995008
15b2d4cc1d77a
hex5debb942790

6454187927440 has 160 divisors (see below), whose sum is σ = 16584767078400. Its totient is φ = 2316236981760.

The previous prime is 6454187927413. The next prime is 6454187927459. The reversal of 6454187927440 is 447297814546.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165646681 + ... + 165685639.

It is an arithmetic number, because the mean of its divisors is an integer number (103654794240).

Almost surely, 26454187927440 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 6454187927440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8292383539200).

6454187927440 is an abundant number, since it is smaller than the sum of its proper divisors (10130579150960).

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

6454187927440 is a wasteful number, since it uses less digits than its factorization.

6454187927440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41445 (or 41439 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 61.

The spelling of 6454187927440 in words is "six trillion, four hundred fifty-four billion, one hundred eighty-seven million, nine hundred twenty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 79 80 88 110 158 176 220 316 395 440 632 790 869 880 1264 1580 1738 2383 3160 3476 4345 4766 6320 6952 8690 9532 11915 13904 17380 19064 23830 26213 34760 38128 38959 47660 52426 69520 77918 95320 104852 131065 155836 188257 190640 194795 209704 262130 311672 376514 389590 419408 428549 524260 623344 753028 779180 857098 941285 1048520 1506056 1558360 1714196 1882570 2070827 2097040 2142745 3012112 3077761 3116720 3428392 3765140 4141654 4285490 6155522 6856784 7530280 8283308 8570980 10354135 12311044 15060560 15388805 16566616 17141960 20708270 24622088 30777610 33133232 33855371 34283920 41416540 49244176 61555220 67710742 82833080 92839297 123110440 135421484 165666160 169276855 185678594 246220880 270842968 338553710 371357188 464196485 541685936 677107420 742714376 928392970 1021232267 1354214840 1485428752 1856785940 2042464534 2708429680 3713571880 4084929068 5106161335 7334304463 7427143760 8169858136 10212322670 14668608926 16339716272 20424645340 29337217852 36671522315 40849290680 58674435704 73343044630 80677349093 81698581360 117348871408 146686089260 161354698186 293372178520 322709396372 403386745465 586744357040 645418792744 806773490930 1290837585488 1613546981860 3227093963720 6454187927440