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18933039890432 = 217315387917
BaseRepresentation
bin1000100111000001100010…
…00111100000000000000000
32111000222111002210002000122
410103200301013200000000
54440144331202443212
6104133415104035412
73662603243516333
oct423406107400000
974028432702018
1018933039890432
11603a503486818
122159424902b68
13a744bb610ab5
14496514c2a61a
1522c759d32272
hex1138311e0000

18933039890432 has 144 divisors (see below), whose sum is σ = 39825368537472. Its totient is φ = 8988194242560.

The previous prime is 18933039890423. The next prime is 18933039890441. The reversal of 18933039890432 is 23409893033981.

It is an interprime number because it is at equal distance from previous prime (18933039890423) and next prime (18933039890441).

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 215307338 + ... + 215395254.

It is an arithmetic number, because the mean of its divisors is an integer number (276565059288).

Almost surely, 218933039890432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18933039890432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19912684268736).

18933039890432 is an abundant number, since it is smaller than the sum of its proper divisors (20892328647040).

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

18933039890432 is an frugal number, since it uses more digits than its factorization.

18933039890432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88035 (or 88003 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 62.

The spelling of 18933039890432 in words is "eighteen trillion, nine hundred thirty-three billion, thirty-nine million, eight hundred ninety thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 31 32 53 62 64 106 124 128 212 248 256 424 496 512 848 992 1024 1643 1696 1984 2048 3286 3392 3968 4096 6572 6784 7936 8192 13144 13568 15872 16384 26288 27136 31744 32768 52576 54272 63488 65536 87917 105152 108544 126976 131072 175834 210304 217088 253952 351668 420608 434176 507904 703336 841216 868352 1015808 1406672 1682432 1736704 2031616 2725427 2813344 3364864 3473408 4063232 4659601 5450854 5626688 6729728 6946816 9319202 10901708 11253376 13459456 18638404 21803416 22506752 26918912 37276808 43606832 45013504 53837824 74553616 87213664 90027008 107675648 144447631 149107232 174427328 180054016 215351296 288895262 298214464 348854656 360108032 577790524 596428928 697709312 720216064 1155581048 1192857856 1395418624 1440432128 2311162096 2385715712 2790837248 2880864256 4622324192 4771431424 5581674496 5761728512 9244648384 9542862848 11163348992 11523457024 18489296768 19085725696 22326697984 36978593536 38171451392 44653395968 73957187072 76342902784 89306791936 147914374144 152685805568 178613583872 295828748288 305371611136 357227167744 591657496576 610743222272 1183314993152 2366629986304 4733259972608 9466519945216 18933039890432