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1264812533472 = 25353467532307
BaseRepresentation
bin10010011001111100101…
…100111010011011100000
311110220200221220221120010
4102121330230322123200
5131210314002032342
62405014042044520
7160244143101405
oct22317454723340
94426627827503
101264812533472
11448449779844
121851671a9740
139236b0b7227
14453082002ac
1522d79bb429c
hex1267cb3a6e0

1264812533472 has 96 divisors (see below), whose sum is σ = 3390026919552. Its totient is φ = 412762847744.

The previous prime is 1264812533461. The next prime is 1264812533473. The reversal of 1264812533472 is 2743352184621.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1264812533473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2109943 + ... + 2642249.

It is an arithmetic number, because the mean of its divisors is an integer number (35312780412).

Almost surely, 21264812533472 is an apocalyptic number.

1264812533472 is a gapful number since it is divisible by the number (12) 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 1264812533472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695013459776).

1264812533472 is an abundant number, since it is smaller than the sum of its proper divisors (2125214386080).

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

1264812533472 is a wasteful number, since it uses less digits than its factorization.

1264812533472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532840 (or 532832 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 48.

The spelling of 1264812533472 in words is "one trillion, two hundred sixty-four billion, eight hundred twelve million, five hundred thirty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 467 636 848 934 1272 1401 1696 1868 2544 2802 3736 5088 5604 7472 11208 14944 22416 24751 44832 49502 74253 99004 148506 198008 297012 396016 532307 594024 792032 1064614 1188048 1596921 2129228 2376096 3193842 4258456 6387684 8516912 12775368 17033824 25550736 28212271 51101472 56424542 84636813 112849084 169273626 225698168 248587369 338547252 451396336 497174738 677094504 745762107 902792672 994349476 1354189008 1491524214 1988698952 2708378016 2983048428 3977397904 5966096856 7954795808 11932193712 13175130557 23864387424 26350261114 39525391671 52700522228 79050783342 105401044456 158101566684 210802088912 316203133368 421604177824 632406266736 1264812533472