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1312632646740 = 22325371311504519
BaseRepresentation
bin10011000110011111000…
…000001010110001010100
311122111010121220101202100
4103012133000022301110
5133001232424143430
62443003133042100
7163556155255302
oct23063700126124
94574117811670
101312632646740
114667589aa708
12192492026330
1396a1c34843c
144776320b272
1524227eb1960
hex1319f00ac54

1312632646740 has 144 divisors (see below), whose sum is σ = 4120483086720. Its totient is φ = 337974923520.

The previous prime is 1312632646691. The next prime is 1312632646757. The reversal of 1312632646740 is 476462362131.

1312632646740 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 632 + 6 + 4 + 6 + 7 + 4 + 0 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 120201 + ... + 1624719.

It is an arithmetic number, because the mean of its divisors is an integer number (28614465880).

Almost surely, 21312632646740 is an apocalyptic number.

1312632646740 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 1312632646740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060241543360).

1312632646740 is an abundant number, since it is smaller than the sum of its proper divisors (2807850439980).

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

1312632646740 is a wasteful number, since it uses less digits than its factorization.

1312632646740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504702 (or 1504697 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 1312632646740 in words is "one trillion, three hundred twelve billion, six hundred thirty-two million, six hundred forty-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 131 148 180 185 222 262 333 370 393 444 524 555 655 666 740 786 1110 1179 1310 1332 1572 1665 1965 2220 2358 2620 3330 3930 4716 4847 5895 6660 7860 9694 11790 14541 19388 23580 24235 29082 43623 48470 58164 72705 87246 96940 145410 174492 218115 290820 436230 872460 1504519 3009038 4513557 6018076 7522595 9027114 13540671 15045190 18054228 22567785 27081342 30090380 45135570 54162684 55667203 67703355 90271140 111334406 135406710 167001609 197091989 222668812 270813420 278336015 334003218 394183978 501004827 556672030 591275967 668006436 788367956 835008045 985459945 1002009654 1113344060 1182551934 1670016090 1773827901 1970919890 2004019308 2365103868 2505024135 2956379835 3340032180 3547655802 3941839780 5010048270 5912759670 7095311604 7292403593 8869139505 10020096540 11825519340 14584807186 17738279010 21877210779 29169614372 35476558020 36462017965 43754421558 65631632337 72924035930 87508843116 109386053895 131263264674 145848071860 218772107790 262526529348 328158161685 437544215580 656316323370 1312632646740