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10206231631416 = 23321925129723887
BaseRepresentation
bin1001010010000101001011…
…0011111001011000111000
31100010201001211102121120100
42110201102303321120320
52314204330244201131
633412402244355400
72102242635316032
oct224412263713070
940121054377510
1010206231631416
113285490753127
12118a0523a5b60
1359059c524162
14273dacab6c52
1512a74a5067e6
hex94852cf9638

10206231631416 has 96 divisors (see below), whose sum is σ = 29212637126400. Its totient is φ = 3210179688000.

The previous prime is 10206231631411. The next prime is 10206231631447. The reversal of 10206231631416 is 61413613260201.

10206231631416 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 6 + 2 + 3 + 1 + 631 + 4 + 16 = 666.

It is a super-2 number, since 2×102062316314162 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10206231631411) 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, 14518576 + ... + 15205311.

It is an arithmetic number, because the mean of its divisors is an integer number (304298303400).

Almost surely, 210206231631416 is an apocalyptic number.

It is an amenable number.

10206231631416 is an abundant number, since it is smaller than the sum of its proper divisors (19006405494984).

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

10206231631416 is a wasteful number, since it uses less digits than its factorization.

10206231631416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29724169 (or 29724162 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 10206231631416 its reverse (61413613260201), we get a palindrome (71619844891617).

The spelling of 10206231631416 in words is "ten trillion, two hundred six billion, two hundred thirty-one million, six hundred thirty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 251 342 456 502 684 753 1004 1368 1506 2008 2259 3012 4518 4769 6024 9036 9538 14307 18072 19076 28614 38152 42921 57228 85842 114456 171684 343368 29723887 59447774 89171661 118895548 178343322 237791096 267514983 356686644 535029966 564753853 713373288 1070059932 1129507706 1694261559 2140119864 2259015412 3388523118 4518030824 5082784677 6777046236 7460695637 10165569354 13554092472 14921391274 20331138708 22382086911 29842782548 40662277416 44764173822 59685565096 67146260733 89528347644 134292521466 141753217103 179056695288 268585042932 283506434206 425259651309 537170085864 567012868412 850519302618 1134025736824 1275778953927 1701038605236 2551557907854 3402077210472 5103115815708 10206231631416