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18378634000 = 245329714463
BaseRepresentation
bin10001000111011100…
…111011001100010000
31202102211122100020011
4101013130323030100
5300114412242000
612235405524304
71220303545216
oct210734731420
952384570204
1018378634000
117881294821
12368ab73694
13196b800a7c
14c64c2ccb6
1572874b2ba
hex44773b310

18378634000 has 160 divisors (see below), whose sum is σ = 46629872640. Its totient is φ = 6996416000.

The previous prime is 18378633979. The next prime is 18378634003. The reversal of 18378634000 is 43687381.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (18378634003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4115769 + ... + 4120231.

It is an arithmetic number, because the mean of its divisors is an integer number (291436704).

Almost surely, 218378634000 is an apocalyptic number.

18378634000 is a gapful number since it is divisible by the number (10) 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 18378634000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23314936320).

18378634000 is an abundant number, since it is smaller than the sum of its proper divisors (28251238640).

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

18378634000 is a wasteful number, since it uses less digits than its factorization.

18378634000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4586 (or 4570 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 18378634000 in words is "eighteen billion, three hundred seventy-eight million, six hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 71 80 100 116 125 142 145 200 232 250 284 290 355 400 464 500 568 580 710 725 1000 1136 1160 1420 1450 1775 2000 2059 2320 2840 2900 3550 3625 4118 4463 5680 5800 7100 7250 8236 8875 8926 10295 11600 14200 14500 16472 17750 17852 20590 22315 28400 29000 32944 35500 35704 41180 44630 51475 58000 71000 71408 82360 89260 102950 111575 129427 142000 164720 178520 205900 223150 257375 258854 316873 357040 411800 446300 514750 517708 557875 633746 647135 823600 892600 1029500 1035416 1115750 1267492 1294270 1584365 1785200 2059000 2070832 2231500 2534984 2588540 3168730 3235675 4118000 4463000 5069968 5177080 6337460 6471350 7921825 8926000 9189317 10354160 12674920 12942700 15843650 16178375 18378634 25349840 25885400 31687300 32356750 36757268 39609125 45946585 51770800 63374600 64713500 73514536 79218250 91893170 126749200 129427000 147029072 158436500 183786340 229732925 258854000 316873000 367572680 459465850 633746000 735145360 918931700 1148664625 1837863400 2297329250 3675726800 4594658500 9189317000 18378634000