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42533778864 = 243174310711329
BaseRepresentation
bin100111100111001101…
…011111010110110000
311001210020210211200010
4213213031133112300
51144102121410424
631312330254520
73034012104123
oct474715372660
9131706724603
1042533778864
1117047233665
1282b0587440
13401acaa9b5
1420b6cd23ba
15118e186229
hex9e735f5b0

42533778864 has 160 divisors (see below), whose sum is σ = 120171237120. Its totient is φ = 12910657536.

The previous prime is 42533778857. The next prime is 42533778871. The reversal of 42533778864 is 46887733524.

It is an interprime number because it is at equal distance from previous prime (42533778857) and next prime (42533778871).

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, 3748752 + ... + 3760080.

It is an arithmetic number, because the mean of its divisors is an integer number (751070232).

Almost surely, 242533778864 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 42533778864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60085618560).

42533778864 is an abundant number, since it is smaller than the sum of its proper divisors (77637458256).

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

42533778864 is a wasteful number, since it uses less digits than its factorization.

42533778864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11507 (or 11501 counting only the distinct ones).

The product of its digits is 27095040, while the sum is 57.

The spelling of 42533778864 in words is "forty-two billion, five hundred thirty-three million, seven hundred seventy-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 43 48 51 68 86 102 107 129 136 172 204 214 258 272 321 344 408 428 516 642 688 731 816 856 1032 1284 1462 1712 1819 2064 2193 2568 2924 3638 4386 4601 5136 5457 5848 7276 8772 9202 10914 11329 11696 13803 14552 17544 18404 21828 22658 27606 29104 33987 35088 36808 43656 45316 55212 67974 73616 78217 87312 90632 110424 135948 156434 181264 192593 220848 234651 271896 312868 385186 469302 487147 543792 577779 625736 770372 938604 974294 1155558 1212203 1251472 1461441 1540744 1877208 1948588 2311116 2424406 2922882 3081488 3636609 3754416 3897176 4622232 4848812 5845764 7273218 7794352 8281499 9244464 9697624 11691528 14546436 16562998 19395248 20607451 23383056 24844497 29092872 33125996 41214902 49688994 52124729 58185744 61822353 66251992 82429804 99377988 104249458 123644706 132503984 156374187 164859608 198755976 208498916 247289412 312748374 329719216 397511952 416997832 494578824 625496748 833995664 886120393 989157648 1250993496 1772240786 2501986992 2658361179 3544481572 5316722358 7088963144 10633444716 14177926288 21266889432 42533778864