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18741391440 = 24351574911013
BaseRepresentation
bin10001011101000100…
…101111000001010000
31210101010020022212220
4101131010233001100
5301340244011230
612335405021040
71232300125122
oct213504570120
953333208786
1018741391440
117a48032862
123770554780
1319c8a02945
14c9b09b212
1574a504d10
hex45d12f050

18741391440 has 160 divisors (see below), whose sum is σ = 58645282176. Its totient is φ = 4950865920.

The previous prime is 18741391429. The next prime is 18741391489. The reversal of 18741391440 is 4419314781.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 18741391392 and 18741391401.

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, 18500374 + ... + 18501386.

Almost surely, 218741391440 is an apocalyptic number.

18741391440 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 18741391440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29322641088).

18741391440 is an abundant number, since it is smaller than the sum of its proper divisors (39903890736).

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

18741391440 is a wasteful number, since it uses less digits than its factorization.

18741391440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 18741391440 in words is "eighteen billion, seven hundred forty-one million, three hundred ninety-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 157 240 314 471 491 628 785 942 982 1013 1256 1473 1570 1884 1964 2026 2355 2455 2512 2946 3039 3140 3768 3928 4052 4710 4910 5065 5892 6078 6280 7365 7536 7856 8104 9420 9820 10130 11784 12156 12560 14730 15195 16208 18840 19640 20260 23568 24312 29460 30390 37680 39280 40520 48624 58920 60780 77087 81040 117840 121560 154174 159041 231261 243120 308348 318082 385435 462522 477123 497383 616696 636164 770870 795205 925044 954246 994766 1156305 1233392 1272328 1492149 1541740 1590410 1850088 1908492 1989532 2312610 2385615 2486915 2544656 2984298 3083480 3180820 3700176 3816984 3979064 4625220 4771230 4973830 5968596 6166960 6361640 7460745 7633968 7958128 9250440 9542460 9947660 11937192 12723280 14921490 18500880 19084920 19895320 23874384 29842980 38169840 39790640 59685960 78089131 119371920 156178262 234267393 312356524 390445655 468534786 624713048 780891310 937069572 1171336965 1249426096 1561782620 1874139144 2342673930 3123565240 3748278288 4685347860 6247130480 9370695720 18741391440