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6442044696 = 23371919379
BaseRepresentation
bin1011111111111100…
…11100110100011000
3121121221211210000000
411333332130310120
5101143130412241
62543123213000
7315432322263
oct57776346430
917557753000
106442044696
11280640358a
1212b9517160
137b883b789
144517d9cda
1527a853eb6
hex17ff9cd18

6442044696 has 128 divisors (see below), whose sum is σ = 19069920000. Its totient is φ = 2034224928.

The previous prime is 6442044691. The next prime is 6442044701. The reversal of 6442044696 is 6964402446.

It is an interprime number because it is at equal distance from previous prime (6442044691) and next prime (6442044701).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6442044691) 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, 322735 + ... + 342113.

It is an arithmetic number, because the mean of its divisors is an integer number (148983750).

Almost surely, 26442044696 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 6442044696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9534960000).

6442044696 is an abundant number, since it is smaller than the sum of its proper divisors (12627875304).

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

6442044696 is a wasteful number, since it uses less digits than its factorization.

6442044696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19425 (or 19403 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The square root of 6442044696 is about 80262.3491806713. The cubic root of 6442044696 is about 1860.6923749095.

The spelling of 6442044696 in words is "six billion, four hundred forty-two million, forty-four thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 243 324 342 456 486 513 648 684 729 972 1026 1368 1458 1539 1944 2052 2187 2916 3078 4104 4374 4617 5832 6156 8748 9234 12312 13851 17496 18468 19379 27702 36936 38758 41553 55404 58137 77516 83106 110808 116274 155032 166212 174411 232548 332424 348822 368201 465096 523233 697644 736402 1046466 1104603 1395288 1472804 1569699 2092932 2209206 2945608 3139398 3313809 4185864 4418412 4709097 6278796 6627618 8836824 9418194 9941427 12557592 13255236 14127291 18836388 19882854 26510472 28254582 29824281 37672776 39765708 42381873 56509164 59648562 79531416 84763746 89472843 113018328 119297124 169527492 178945686 238594248 268418529 339054984 357891372 536837058 715782744 805255587 1073674116 1610511174 2147348232 3221022348 6442044696