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2374242087924 = 22327131325322109
BaseRepresentation
bin100010100011001011110…
…110110011001111110100
322101222100000100201020100
4202203023312303033310
5302344421433303144
65014413423434100
7333350634523350
oct42431366631764
98358300321210
102374242087924
11835a01842643
12324188a55930
13142b75631305
1482cb1b78460
1541b5d3e2269
hex228cbdb33f4

2374242087924 has 144 divisors (see below), whose sum is σ = 6913717050240. Its totient is φ = 672939221760.

The previous prime is 2374242087907. The next prime is 2374242087937. The reversal of 2374242087924 is 4297802424732.

2374242087924 is a `hidden beast` number, since 2 + 3 + 7 + 424 + 208 + 7 + 9 + 2 + 4 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 107376982 + ... + 107399090.

It is an arithmetic number, because the mean of its divisors is an integer number (48011923960).

Almost surely, 22374242087924 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 2374242087924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3456858525120).

2374242087924 is an abundant number, since it is smaller than the sum of its proper divisors (4539474962316).

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

2374242087924 is a wasteful number, since it uses less digits than its factorization.

2374242087924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25510 (or 25505 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 2374242087924 in words is "two trillion, three hundred seventy-four billion, two hundred forty-two million, eighty-seven thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 131 252 262 393 524 786 917 1179 1572 1834 2358 2751 3253 3668 4716 5502 6506 8253 9759 11004 13012 16506 19518 22109 22771 29277 33012 39036 44218 45542 58554 66327 68313 88436 91084 117108 132654 136626 154763 198981 204939 265308 273252 309526 397962 409878 426143 464289 619052 795924 819756 852286 928578 1278429 1392867 1704572 1857156 2556858 2785734 2896279 2983001 3835287 5113716 5571468 5792558 5966002 7670574 8688837 8949003 11585116 11932004 15341148 17377674 17898006 20273953 26066511 26847009 34755348 35796012 40547906 52133022 53694018 60821859 71920577 81095812 104266044 107388036 121643718 143841154 182465577 215761731 243287436 287682308 364931154 431523462 503444039 647285193 729862308 863046924 1006888078 1294570386 1510332117 2013776156 2589140772 3020664234 4530996351 6041328468 9061992702 9421595587 18123985404 18843191174 28264786761 37686382348 56529573522 65951169109 84794360283 113059147044 131902338218 169588720566 197853507327 263804676436 339177441132 395707014654 593560521981 791414029308 1187121043962 2374242087924