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1098150023424 = 28331148731019
BaseRepresentation
bin11111111101011101101…
…01111001000100000000
310212222111222000012221210
433332232311321010000
5120443002401222144
62200252210050120
7142224116120556
oct17765665710400
93788458005853
101098150023424
113937a5072233
121589b4279940
137c72a73a68c
143b217901bd6
151d873374ab9
hexffaed79100

1098150023424 has 144 divisors (see below), whose sum is σ = 3019086766080. Its totient is φ = 353992304640.

The previous prime is 1098150023401. The next prime is 1098150023473. The reversal of 1098150023424 is 4243200518901.

It is a super-2 number, since 2×10981500234242 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35386987 + ... + 35418005.

It is an arithmetic number, because the mean of its divisors is an integer number (20965880320).

Almost surely, 21098150023424 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 1098150023424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509543383040).

1098150023424 is an abundant number, since it is smaller than the sum of its proper divisors (1920936742656).

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

1098150023424 is a wasteful number, since it uses less digits than its factorization.

1098150023424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32556 (or 32542 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 1098150023424 in words is "one trillion, ninety-eight billion, one hundred fifty million, twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 744 768 992 1487 1488 1984 2974 2976 3968 4461 5948 5952 7936 8922 11896 11904 17844 23792 23808 31019 35688 46097 47584 62038 71376 92194 93057 95168 124076 138291 142752 184388 186114 190336 248152 276582 285504 368776 372228 380672 496304 553164 571008 737552 744456 961589 992608 1106328 1142016 1475104 1488912 1923178 1985216 2212656 2884767 2950208 2977824 3846356 3970432 4425312 5769534 5900416 5955648 7692712 7940864 8850624 11539068 11800832 11911296 15385424 17701248 23078136 23822592 30770848 35402496 46125253 46156272 61541696 92250506 92312544 123083392 138375759 184501012 184625088 246166784 276751518 369002024 369250176 553503036 738004048 738500352 1107006072 1429882843 1476008096 2214012144 2859765686 2952016192 4289648529 4428024288 5719531372 5904032384 8579297058 8856048576 11439062744 11808064768 17158594116 17712097152 22878125488 34317188232 35424194304 45756250976 68634376464 91512501952 137268752928 183025003904 274537505856 366050007808 549075011712 1098150023424