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6426316362150 = 2325221176188937
BaseRepresentation
bin101110110000011111001…
…0011011101000110100110
3211202100110000222122002200
41131200332103131012212
51320242043442042100
621400113050115330
71232200052542116
oct135407623350646
924670400878080
106426316362150
112058427064183
1287956841bb46
13377ccab4ac59
1418306d0b9046
15b226adc6e00
hex5d83e4dd1a6

6426316362150 has 144 divisors (see below), whose sum is σ = 17370186928848. Its totient is φ = 1703302272000.

The previous prime is 6426316362131. The next prime is 6426316362187. The reversal of 6426316362150 is 512636136246.

6426316362150 is a `hidden beast` number, since 6 + 4 + 2 + 6 + 3 + 1 + 636 + 2 + 1 + 5 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6426316362096 and 6426316362105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 72212482 + ... + 72301418.

It is an arithmetic number, because the mean of its divisors is an integer number (120626298117).

Almost surely, 26426316362150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6426316362150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8685093464424).

6426316362150 is an abundant number, since it is smaller than the sum of its proper divisors (10943870566698).

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

6426316362150 is a wasteful number, since it uses less digits than its factorization.

6426316362150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89927 (or 89919 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 6426316362150 in words is "six trillion, four hundred twenty-six billion, three hundred sixteen million, three hundred sixty-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 211 225 422 450 633 761 1055 1266 1522 1899 2110 2283 3165 3798 3805 4566 5275 6330 6849 7610 9495 10550 11415 13698 15825 18990 19025 22830 31650 34245 38050 47475 57075 68490 88937 94950 114150 160571 171225 177874 266811 321142 342450 444685 481713 533622 800433 802855 889370 963426 1334055 1445139 1600866 1605710 2223425 2408565 2668110 2890278 4002165 4014275 4446850 4817130 6670275 7225695 8004330 8028550 12042825 13340550 14451390 18765707 20010825 24085650 36128475 37531414 40021650 56297121 67681057 72256950 93828535 112594242 135362114 168891363 187657070 203043171 281485605 337782726 338405285 406086342 469142675 562971210 609129513 676810570 844456815 938285350 1015215855 1218259026 1407428025 1688913630 1692026425 2030431710 2814856050 3045647565 3384052850 4222284075 5076079275 6091295130 8444568150 10152158550 14280703027 15228237825 28561406054 30456475650 42842109081 71403515135 85684218162 128526327243 142807030270 214210545405 257052654486 357017575675 428421090810 642631636215 714035151350 1071052727025 1285263272430 2142105454050 3213158181075 6426316362150