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10135218090996 = 22321639011191677
BaseRepresentation
bin1001001101111100101000…
…0100101111001111110100
31022212220202202220222121200
42103133022010233033310
52312023411312402441
633320015510012500
72064150103222035
oct223371204571764
938786682828550
1010135218090996
11325835a42a149
121178334047130
1358699310b45b
1427079362aa8c
15128990e3c7b6
hex937ca12f3f4

10135218090996 has 72 divisors (see below), whose sum is σ = 25779749477664. Its totient is φ = 3357289477440.

The previous prime is 10135218090961. The next prime is 10135218090997. The reversal of 10135218090996 is 69909081253101.

10135218090996 is a `hidden beast` number, since 10 + 13 + 521 + 8 + 0 + 9 + 0 + 9 + 96 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10135218090997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52780710 + ... + 52972386.

Almost surely, 210135218090996 is an apocalyptic number.

It is an amenable number.

10135218090996 is an abundant number, since it is smaller than the sum of its proper divisors (15644531386668).

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

10135218090996 is a wasteful number, since it uses less digits than its factorization.

10135218090996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200861 (or 200856 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The spelling of 10135218090996 in words is "ten trillion, one hundred thirty-five billion, two hundred eighteen million, ninety thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 163 326 489 652 978 1467 1956 2934 5868 9011 18022 27033 36044 54066 81099 108132 162198 191677 324396 383354 575031 766708 1150062 1468793 1725093 2300124 2937586 3450186 4406379 5875172 6900372 8812758 13219137 17625516 26438274 31243351 52876548 62486702 93730053 124973404 187460106 281190159 374920212 562380318 1124760636 1727201447 3454402894 5181604341 6908805788 10363208682 15544813023 20726417364 31089626046 62179252092 281533835861 563067671722 844601507583 1126135343444 1689203015166 2533804522749 3378406030332 5067609045498 10135218090996