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23141920824 = 23321123976691
BaseRepresentation
bin10101100011010111…
…011011000000111000
32012201210121101100200
4111203113123000320
5334343312431244
614344203402200
71446323036631
oct254327330070
965653541320
1023141920824
1198a6013700
12459a223360
13224a5bc899
1411976b2888
159069e5669
hex5635db038

23141920824 has 144 divisors (see below), whose sum is σ = 69075693960. Its totient is φ = 6993993600.

The previous prime is 23141920819. The next prime is 23141920849. The reversal of 23141920824 is 42802914132.

23141920824 is a `hidden beast` number, since 2 + 31 + 419 + 208 + 2 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 3455319 + ... + 3462009.

Almost surely, 223141920824 is an apocalyptic number.

23141920824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23141920824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34537846980).

23141920824 is an abundant number, since it is smaller than the sum of its proper divisors (45933773136).

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

23141920824 is a wasteful number, since it uses less digits than its factorization.

23141920824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7122 (or 7104 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 23141920824 in words is "twenty-three billion, one hundred forty-one million, nine hundred twenty thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 397 484 726 792 794 968 1089 1191 1452 1588 2178 2382 2904 3176 3573 4356 4367 4764 6691 7146 8712 8734 9528 13101 13382 14292 17468 20073 26202 26764 28584 34936 39303 40146 48037 52404 53528 60219 73601 78606 80292 96074 104808 120438 144111 147202 157212 160584 192148 220803 240876 288222 294404 314424 384296 432333 441606 481752 576444 588808 662409 809611 864666 883212 1152888 1324818 1619222 1729332 1766424 2428833 2649636 2656327 3238444 3458664 4857666 5299272 5312654 6476888 7286499 7968981 9715332 10625308 14572998 15937962 19430664 21250616 23906943 29145996 29219597 31875924 47813886 58291992 58439194 63751848 87658791 95627772 116878388 175317582 191255544 233756776 262976373 321415567 350635164 525952746 642831134 701270328 964246701 1051905492 1285662268 1928493402 2103810984 2571324536 2892740103 3856986804 5785480206 7713973608 11570960412 23141920824