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94134911343792 = 243112937791626829
BaseRepresentation
bin10101011001110101111101…
…111100111001110010110000
3110100022012122211021100010020
4111121311331330321302300
544314301244301000132
6532112551542003440
725554010600135014
oct2531657574716260
9410265584240106
1094134911343792
1127aa34343a8170
12a683b87416580
13406ab65348177
1419362228b2544
15ad39e993d52c
hex559d7df39cb0

94134911343792 has 160 divisors (see below), whose sum is σ = 274509992736000. Its totient is φ = 27534779704320.

The previous prime is 94134911343761. The next prime is 94134911343793. The reversal of 94134911343792 is 29734311943149.

It is a super-2 number, since 2×941349113437922 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (94134911343793) 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, 57050634 + ... + 58677462.

It is an arithmetic number, because the mean of its divisors is an integer number (1715687454600).

Almost surely, 294134911343792 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 94134911343792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137254996368000).

94134911343792 is an abundant number, since it is smaller than the sum of its proper divisors (180375081392208).

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

94134911343792 is a wasteful number, since it uses less digits than its factorization.

94134911343792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630659 (or 1630653 counting only the distinct ones).

The product of its digits is 17635968, while the sum is 60.

The spelling of 94134911343792 in words is "ninety-four trillion, one hundred thirty-four billion, nine hundred eleven million, three hundred forty-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 66 87 88 116 132 174 176 232 264 319 348 464 528 638 696 957 1276 1392 1914 2552 3779 3828 5104 7558 7656 11337 15116 15312 22674 30232 41569 45348 60464 83138 90696 109591 124707 166276 181392 219182 249414 328773 332552 438364 498828 657546 665104 876728 997656 1205501 1315092 1626829 1753456 1995312 2411002 2630184 3253658 3616503 4822004 4880487 5260368 6507316 7233006 9644008 9760974 13014632 14466012 17895119 19288016 19521948 26029264 28932024 35790238 39043896 47178041 53685357 57864048 71580476 78087792 94356082 107370714 141534123 143160952 188712164 214741428 283068246 286321904 377424328 429482856 518958451 566136492 754848656 858965712 1037916902 1132272984 1556875353 2075833804 2264545968 3113750706 4151667608 6147786791 6227501412 8303335216 12295573582 12455002824 18443360373 24591147164 24910005648 36886720746 49182294328 67625654701 73773441492 98364588656 135251309402 147546882984 178285816939 202876964103 270502618804 295093765968 356571633878 405753928206 534857450817 541005237608 713143267756 811507856412 1069714901634 1082010475216 1426286535512 1623015712824 1961143986329 2139429803268 2852573071024 3246031425648 3922287972658 4278859606536 5883431958987 7844575945316 8557719213072 11766863917974 15689151890632 23533727835948 31378303781264 47067455671896 94134911343792