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1358152162640 = 245713426143783
BaseRepresentation
bin10011110000111000001…
…011010101110101010000
311210211121221220101122122
4103300320023111311100
5134222443423201030
62515532042153412
7200060163622220
oct23607013256520
94724557811578
101358152162640
11483a97541739
1219b2764b2868
139b0c4a85630
1449a40872080
15254de3208e5
hex13c382d5d50

1358152162640 has 160 divisors (see below), whose sum is σ = 3887405523456. Its totient is φ = 429722081280.

The previous prime is 1358152162613. The next prime is 1358152162657. The reversal of 1358152162640 is 462612518531.

It is a junction number, because it is equal to n+sod(n) for n = 1358152162591 and 1358152162600.

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 31 ways as a sum of consecutive naturals, for example, 30998189 + ... + 31041971.

Almost surely, 21358152162640 is an apocalyptic number.

1358152162640 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 1358152162640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943702761728).

1358152162640 is an abundant number, since it is smaller than the sum of its proper divisors (2529253360816).

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

1358152162640 is a wasteful number, since it uses less digits than its factorization.

1358152162640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48077 (or 48071 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 44.

The spelling of 1358152162640 in words is "one trillion, three hundred fifty-eight billion, one hundred fifty-two million, one hundred sixty-two thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 4261 7280 8522 17044 21305 29827 34088 42610 43783 55393 59654 68176 85220 87566 110786 119308 149135 170440 175132 218915 221572 238616 276965 298270 306481 340880 350264 387751 437830 443144 477232 553930 569179 596540 612962 700528 775502 875660 886288 1107860 1138358 1193080 1225924 1532405 1551004 1751320 1938755 2215720 2276716 2386160 2451848 2845895 3064810 3102008 3502640 3877510 3984253 4431440 4553432 4903696 5691790 6129620 6204016 7755020 7968506 9106864 11383580 12259240 15510040 15937012 19921265 22767160 24518480 31020080 31874024 39842530 45534320 63748048 79685060 159370120 186559363 318740240 373118726 746237452 932796815 1305915541 1492474904 1865593630 2425271719 2611831082 2984949808 3731187260 4850543438 5223662164 6529577705 7462374520 9701086876 10447324328 12126358595 13059155410 14924749040 16976902033 19402173752 20894648656 24252717190 26118310820 33953804066 38804347504 48505434380 52236621640 67907608132 84884510165 97010868760 104473243280 135815216264 169769020330 194021737520 271630432528 339538040660 679076081320 1358152162640