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19249376344 = 23113141592917
BaseRepresentation
bin10001111011010110…
…100010110001011000
31211200112002122011121
4101323112202301120
5303410320020334
612502032535024
71251005666512
oct217326426130
954615078147
1019249376344
1181888533a0
1238926b1474
131a7a022323
14d08730bb2
15779de8db4
hex47b5a2c58

19249376344 has 128 divisors (see below), whose sum is σ = 42355353600. Its totient is φ = 8118144000.

The previous prime is 19249376327. The next prime is 19249376359. The reversal of 19249376344 is 44367394291.

It is a junction number, because it is equal to n+sod(n) for n = 19249376291 and 19249376300.

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 31 ways as a sum of consecutive naturals, for example, 6597574 + ... + 6600490.

It is an arithmetic number, because the mean of its divisors is an integer number (330901200).

Almost surely, 219249376344 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 19249376344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21177676800).

19249376344 is an abundant number, since it is smaller than the sum of its proper divisors (23105977256).

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

19249376344 is a wasteful number, since it uses less digits than its factorization.

19249376344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3065 (or 3061 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 52.

It can be divided in two parts, 19249 and 376344, that added together give a palindrome (395593).

The spelling of 19249376344 in words is "nineteen billion, two hundred forty-nine million, three hundred seventy-six thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 31 41 44 59 62 82 88 118 124 164 236 248 328 341 451 472 649 682 902 1271 1298 1364 1804 1829 2419 2542 2596 2728 2917 3608 3658 4838 5084 5192 5834 7316 9676 10168 11668 13981 14632 19352 20119 23336 26609 27962 32087 40238 53218 55924 64174 74989 80476 90427 106436 111848 119597 128348 149978 160952 172103 180854 212872 239194 256696 299956 344206 361708 478388 599912 688412 723416 824879 956776 994697 1315567 1376824 1649758 1893133 1989394 2631134 3299516 3707507 3786266 3978788 5262268 5335193 6599032 7056223 7415014 7572532 7957576 10524536 10670386 14112446 14830028 15145064 21340772 28224892 29660056 40782577 42681544 56449784 58687123 77618453 81565154 117374246 155236906 163130308 218742913 234748492 310473812 326260616 437485826 469496984 620947624 874971652 1749943304 2406172043 4812344086 9624688172 19249376344