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400676230768 = 241121934731391
BaseRepresentation
bin1011101010010100010…
…10100001011001110000
31102022012211000110012211
411311022022201121300
523031041103341033
6504022414101504
740643062524202
oct5651212413160
91368184013184
10400676230768
11144a20317600
12657a17aa894
132ba257777a8
141556dd10772
15a650e732cd
hex5d4a2a1670

400676230768 has 120 divisors (see below), whose sum is σ = 900827343360. Its totient is φ = 172037289600.

The previous prime is 400676230753. The next prime is 400676230781. The reversal of 400676230768 is 867032676004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12748353 + ... + 12779743.

It is an arithmetic number, because the mean of its divisors is an integer number (7506894528).

Almost surely, 2400676230768 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 400676230768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450413671680).

400676230768 is an abundant number, since it is smaller than the sum of its proper divisors (500151112592).

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

400676230768 is a wasteful number, since it uses less digits than its factorization.

400676230768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31787 (or 31770 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 49.

The spelling of 400676230768 in words is "four hundred billion, six hundred seventy-six million, two hundred thirty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 121 152 176 209 242 304 347 418 484 694 836 968 1388 1672 1936 2299 2776 3344 3817 4598 5552 6593 7634 9196 13186 15268 18392 26372 30536 31391 36784 41987 52744 61072 62782 72523 83974 105488 125564 145046 167948 251128 290092 335896 345301 502256 580184 596429 671792 690602 797753 1160368 1192858 1381204 1595506 2385716 2762408 3191012 3798311 4771432 5524816 6382024 6560719 7596622 9542864 10892677 12764048 13121438 15193244 21785354 26242876 30386488 43570708 52485752 60772976 72167909 87141416 104971504 119819447 144335818 174282832 206960863 239638894 288671636 413921726 479277788 577343272 827843452 958555576 1154686544 1318013917 1655686904 1917111152 2276569493 2636027834 3311373808 4553138986 5272055668 9106277972 10544111336 18212555944 21088222672 25042264423 36425111888 50084528846 100169057692 200338115384 400676230768