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23608729040 = 24513238111217
BaseRepresentation
bin10101111111001100…
…001001110111010000
32020221022222200211212
4111333030021313100
5341322313312130
614502400555252
71464021612551
oct257714116720
966838880755
1023608729040
11a01556a616
1246aa622b28
1322c3222c70
1411dd6a8328
159329a3e95
hex57f309dd0

23608729040 has 160 divisors (see below), whose sum is σ = 61809543936. Its totient is φ = 8320942080.

The previous prime is 23608729037. The next prime is 23608729043. The reversal of 23608729040 is 4092780632.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23608729037) and next prime (23608729043).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23608729043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19398512 + ... + 19399728.

Almost surely, 223608729040 is an apocalyptic number.

23608729040 is a gapful number since it is divisible by the number (20) 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 23608729040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30904771968).

23608729040 is an abundant number, since it is smaller than the sum of its proper divisors (38200814896).

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

23608729040 is a wasteful number, since it uses less digits than its factorization.

23608729040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2077 (or 2071 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The spelling of 23608729040 in words is "twenty-three billion, six hundred eight million, seven hundred twenty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 40 46 52 65 80 92 104 115 130 184 208 230 260 299 368 460 520 598 811 920 1040 1196 1217 1495 1622 1840 2392 2434 2990 3244 4055 4784 4868 5980 6085 6488 8110 9736 10543 11960 12170 12976 15821 16220 18653 19472 21086 23920 24340 27991 31642 32440 37306 42172 48680 52715 55982 63284 64880 74612 79105 84344 93265 97360 105430 111964 126568 139955 149224 158210 168688 186530 210860 223928 242489 253136 279910 298448 316420 363883 373060 421720 447856 484978 559820 632840 727766 746120 843440 969956 986987 1119640 1212445 1265680 1455532 1492240 1819415 1939912 1973974 2239280 2424890 2911064 3638830 3879824 3947948 4849780 4934935 5822128 7277660 7895896 9699560 9869870 12830831 14555320 15791792 19399120 19739740 22700701 25661662 29110640 39479480 45401402 51323324 64154155 78958960 90802804 102646648 113503505 128308310 181605608 205293296 227007010 256616620 295109113 363211216 454014020 513233240 590218226 908028040 1026466480 1180436452 1475545565 1816056080 2360872904 2951091130 4721745808 5902182260 11804364520 23608729040