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531104445704352 = 253131743312441129
BaseRepresentation
bin111100011000010010110001…
…1110100110010100010100000
32120122111002101222201100112010
41320300211203310302202200
51024103103401100014402
65121322003013232520
7216604013162213622
oct17060454364624240
92518432358640463
10531104445704352
11144254148810343
124b697724332740
1319a46c1b9542a0
1495218414c4c12
1541603a35dda6c
hex1e30963d328a0

531104445704352 has 96 divisors (see below), whose sum is σ = 1501400641164480. Its totient is φ = 163415748188160.

The previous prime is 531104445704317. The next prime is 531104445704377. The reversal of 531104445704352 is 253407544401135.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216344524 + ... + 218785652.

It is an arithmetic number, because the mean of its divisors is an integer number (15639590012130).

Almost surely, 2531104445704352 is an apocalyptic number.

531104445704352 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

531104445704352 is an abundant number, since it is smaller than the sum of its proper divisors (970296195460128).

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

531104445704352 is a wasteful number, since it uses less digits than its factorization.

531104445704352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2615486 (or 2615478 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 48.

The spelling of 531104445704352 in words is "five hundred thirty-one trillion, one hundred four billion, four hundred forty-five million, seven hundred four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 174331 348662 522993 697324 1045986 1394648 2091972 2266303 2441129 2789296 4183944 4532606 4882258 5578592 6798909 7323387 8367888 9065212 9764516 13597818 14646774 16735776 18130424 19529032 27195636 29293548 31734677 36260848 39058064 54391272 58587096 63469354 72521696 78116128 95204031 108782544 117174192 126938708 190408062 217565088 234348384 253877416 380816124 507754832 761632248 1015509664 1523264496 3046528992 425564459699 851128919398 1276693379097 1702257838796 2553386758194 3404515677592 5106773516388 5532337976087 6809031355184 10213547032776 11064675952174 13618062710368 16597013928261 20427094065552 22129351904348 33194027856522 40854188131104 44258703808696 66388055713044 88517407617392 132776111426088 177034815234784 265552222852176 531104445704352