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150703243264 = 21673110597
BaseRepresentation
bin1000110001011010011…
…1010000000000000000
3112101222202201222021101
42030112213100000000
54432120012241024
6153122045304144
713613365301110
oct2142647200000
9471882658241
10150703243264
1158a05063232
122525a265054
1311299185b32
147418d31040
153dc06e2c44
hex23169d0000

150703243264 has 136 divisors (see below), whose sum is σ = 355607157248. Its totient is φ = 62497751040.

The previous prime is 150703243213. The next prime is 150703243267. The reversal of 150703243264 is 462342307051.

It is a super-2 number, since 2×1507032432642 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150703243267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14216014 + ... + 14226610.

Almost surely, 2150703243264 is an apocalyptic number.

150703243264 is a gapful number since it is divisible by the number (14) 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 150703243264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177803578624).

150703243264 is an abundant number, since it is smaller than the sum of its proper divisors (204903913984).

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

150703243264 is an frugal number, since it uses more digits than its factorization.

150703243264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10667 (or 10637 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 37.

The spelling of 150703243264 in words is "one hundred fifty billion, seven hundred three million, two hundred forty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 434 448 496 512 868 896 992 1024 1736 1792 1984 2048 3472 3584 3968 4096 6944 7168 7936 8192 10597 13888 14336 15872 16384 21194 27776 28672 31744 32768 42388 55552 57344 63488 65536 74179 84776 111104 114688 126976 148358 169552 222208 229376 253952 296716 328507 339104 444416 458752 507904 593432 657014 678208 888832 1015808 1186864 1314028 1356416 1777664 2031616 2299549 2373728 2628056 2712832 3555328 4599098 4747456 5256112 5425664 7110656 9198196 9494912 10512224 10851328 14221312 18396392 18989824 21024448 21702656 36792784 37979648 42048896 43405312 73585568 75959296 84097792 86810624 147171136 151918592 168195584 173621248 294342272 303837184 336391168 347242496 588684544 607674368 672782336 694484992 1177369088 1215348736 1345564672 2354738176 2430697472 2691129344 4709476352 4861394944 5382258688 9418952704 10764517376 18837905408 21529034752 37675810816 75351621632 150703243264