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319480671488 = 2811270114713
BaseRepresentation
bin1001010011000101000…
…10000010110100000000
31010112122011020200012112
410221202202002310000
520213244022441423
6402433431314452
732040012621056
oct4514242026400
91115564220175
10319480671488
11113544568100
1251b0151ba28
1324185a44864
141166a4801d6
15849ca44a78
hex4a62882d00

319480671488 has 108 divisors (see below), whose sum is σ = 702005322564. Its totient is φ = 145001472000.

The previous prime is 319480671487. The next prime is 319480671493. The reversal of 319480671488 is 884176084913.

It can be written as a sum of positive squares in 2 ways, for example, as 257284301824 + 62196369664 = 507232^2 + 249392^2 .

It is a super-2 number, since 2×3194806714882 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (319480671487) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21706820 + ... + 21721532.

It is an arithmetic number, because the mean of its divisors is an integer number (6500049283).

Almost surely, 2319480671488 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 319480671488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351002661282).

319480671488 is an abundant number, since it is smaller than the sum of its proper divisors (382524651076).

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

319480671488 is a wasteful number, since it uses less digits than its factorization.

319480671488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15452 (or 15427 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 59.

The spelling of 319480671488 in words is "three hundred nineteen billion, four hundred eighty million, six hundred seventy-one thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 701 704 968 1402 1408 1936 2804 2816 3872 5608 7711 7744 11216 14713 15422 15488 22432 29426 30844 30976 44864 58852 61688 84821 89728 117704 123376 161843 169642 179456 235408 246752 323686 339284 470816 493504 647372 678568 941632 987008 1294744 1357136 1780273 1883264 1974016 2589488 2714272 3560546 3766528 5178976 5428544 7121092 10313813 10357952 10857088 14242184 20627626 20715904 21714176 28484368 41255252 41431808 56968736 82510504 113451943 113937472 165021008 226903886 227874944 330042016 453807772 455749888 660084032 907615544 1247971373 1320168064 1815231088 2495942746 2640336128 3630462176 4991885492 7260924352 9983770984 14521848704 19967541968 29043697408 39935083936 79870167872 159740335744 319480671488