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2126036930040 = 233353607545759
BaseRepresentation
bin11110111100000001101…
…011010000110111111000
321112020200011120021122000
4132330001223100313320
5234313110423230130
64304404325501000
7306413114506422
oct36740153206770
97466604507560
102126036930040
1174a71346a891
122a4059571760
1312563b37789a
1474c87899812
153a482e63260
hex1ef01ad0df8

2126036930040 has 128 divisors (see below), whose sum is σ = 7088767488000. Its totient is φ = 566784964224.

The previous prime is 2126036930021. The next prime is 2126036930057. The reversal of 2126036930040 is 400396306212.

2126036930040 is a `hidden beast` number, since 2 + 1 + 2 + 603 + 6 + 9 + 3 + 0 + 0 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2126036929977 and 2126036930004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3622681 + ... + 4168439.

It is an arithmetic number, because the mean of its divisors is an integer number (55380996000).

Almost surely, 22126036930040 is an apocalyptic number.

2126036930040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2126036930040 is an abundant number, since it is smaller than the sum of its proper divisors (4962730557960).

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

2126036930040 is a wasteful number, since it uses less digits than its factorization.

2126036930040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549386 (or 549376 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 2126036930040 in words is "two trillion, one hundred twenty-six billion, thirty-six million, nine hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 3607 7214 10821 14428 18035 21642 28856 32463 36070 43284 54105 64926 72140 86568 97389 108210 129852 144280 162315 194778 216420 259704 324630 389556 432840 486945 545759 649260 779112 973890 1091518 1298520 1637277 1947780 2183036 2728795 3274554 3895560 4366072 4911831 5457590 6549108 8186385 9823662 10915180 13098216 14735493 16372770 19647324 21830360 24559155 29470986 32745540 39294648 49118310 58941972 65491080 73677465 98236620 117883944 147354930 196473240 294709860 589419720 1968552713 3937105426 5905658139 7874210852 9842763565 11811316278 15748421704 17716974417 19685527130 23622632556 29528290695 35433948834 39371054260 47245265112 53150923251 59056581390 70867897668 78742108520 88584872085 106301846502 118113162780 141735795336 177169744170 212603693004 236226325560 265754616255 354339488340 425207386008 531509232510 708678976680 1063018465020 2126036930040