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20292640680 = 23351319684637
BaseRepresentation
bin10010111001100010…
…010001111110101000
31221101020011221210110
4102321202101332220
5313024404000210
613153341414320
71315604412504
oct227142217650
957336157713
1020292640680
118673737324
123b23b6a3a0
131bb51c9ac0
14da7101304
157db7c4420
hex4b9891fa8

20292640680 has 128 divisors (see below), whose sum is σ = 69011510400. Its totient is φ = 4732204032.

The previous prime is 20292640633. The next prime is 20292640681. The reversal of 20292640680 is 8604629202.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (20292640681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312679 + ... + 371958.

It is an arithmetic number, because the mean of its divisors is an integer number (539152425).

Almost surely, 220292640680 is an apocalyptic number.

20292640680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20292640680 is an abundant number, since it is smaller than the sum of its proper divisors (48718869720).

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

20292640680 is a wasteful number, since it uses less digits than its factorization.

20292640680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684683 (or 684679 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 20292640680 in words is "twenty billion, two hundred ninety-two million, six hundred forty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 19 20 24 26 30 38 39 40 52 57 60 65 76 78 95 104 114 120 130 152 156 190 195 228 247 260 285 312 380 390 456 494 520 570 741 760 780 988 1140 1235 1482 1560 1976 2280 2470 2964 3705 4940 5928 7410 9880 14820 29640 684637 1369274 2053911 2738548 3423185 4107822 5477096 6846370 8215644 8900281 10269555 13008103 13692740 16431288 17800562 20539110 26016206 26700843 27385480 35601124 39024309 41078220 44501405 52032412 53401686 65040515 71202248 78048618 82156440 89002810 104064824 106803372 130081030 133504215 156097236 169105339 178005620 195121545 213606744 260162060 267008430 312194472 338210678 356011240 390243090 507316017 520324120 534016860 676421356 780486180 845526695 1014632034 1068033720 1352842712 1560972360 1691053390 2029264068 2536580085 3382106780 4058528136 5073160170 6764213560 10146320340 20292640680