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1931490255060 = 22325312837122011
BaseRepresentation
bin11100000110110101110…
…010100110000011010100
320211122111212200012201100
4130012311302212003110
5223121143001130220
64035151523230100
7256355062165242
oct34066562460324
96748455605640
101931490255060
1168515a993473
12272404218330
131101a5aa9562
14696adb61792
153539863dd90
hex1c1b5ca60d4

1931490255060 has 144 divisors (see below), whose sum is σ = 6050030418432. Its totient is φ = 498269318400.

The previous prime is 1931490255031. The next prime is 1931490255083. The reversal of 1931490255060 is 605520941391.

1931490255060 is a `hidden beast` number, since 1 + 9 + 3 + 1 + 4 + 90 + 2 + 550 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 1931490254997 and 1931490255015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15769455 + ... + 15891465.

It is an arithmetic number, because the mean of its divisors is an integer number (42014100128).

Almost surely, 21931490255060 is an apocalyptic number.

1931490255060 is a gapful number since it is divisible by the number (10) 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 1931490255060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3025015209216).

1931490255060 is an abundant number, since it is smaller than the sum of its proper divisors (4118540163372).

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

1931490255060 is a wasteful number, since it uses less digits than its factorization.

1931490255060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124894 (or 124889 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 1931490255060 in words is "one trillion, nine hundred thirty-one billion, four hundred ninety million, two hundred fifty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 2837 5580 5674 8511 11348 14185 17022 25533 28370 34044 42555 51066 56740 85110 87947 102132 122011 127665 170220 175894 244022 255330 263841 351788 366033 439735 488044 510660 527682 610055 732066 791523 879470 1055364 1098099 1220110 1319205 1464132 1583046 1758940 1830165 2196198 2440220 2638410 3166092 3660330 3782341 3957615 4392396 5276820 5490495 7320660 7564682 7915230 10980990 11347023 15129364 15830460 18911705 21961980 22694046 34041069 37823410 45388092 56735115 68082138 75646820 113470230 136164276 170205345 226940460 340410690 346145207 680821380 692290414 1038435621 1384580828 1730726035 2076871242 3115306863 3461452070 4153742484 5192178105 6230613726 6922904140 10384356210 10730501417 12461227452 15576534315 20768712420 21461002834 31153068630 32191504251 42922005668 53652507085 62306137260 64383008502 96574512753 107305014170 128766017004 160957521255 193149025506 214610028340 321915042510 386298051012 482872563765 643830085020 965745127530 1931490255060