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45816966316098 = 236311847548833
BaseRepresentation
bin10100110101011100110000…
…00000001000000001000010
320000020001121011022001000000
422122232120000020001002
522001131121334103343
6241240005044140430
712436111064651265
oct1232563000100102
9200201534261000
1045816966316098
111366495904876a
12517b775397716
131c746a1636a93
14b457a5618cdc
15546c0eea1ed3
hex29ab98008042

45816966316098 has 112 divisors (see below), whose sum is σ = 106422723703296. Its totient is φ = 14771637653760.

The previous prime is 45816966316031. The next prime is 45816966316109. The reversal of 45816966316098 is 89061366961854.

45816966316098 is a `hidden beast` number, since 4 + 5 + 8 + 1 + 6 + 9 + 6 + 6 + 3 + 1 + 609 + 8 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 83206290 + ... + 83755122.

It is an arithmetic number, because the mean of its divisors is an integer number (950202890208).

Almost surely, 245816966316098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45816966316098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53211361851648).

45816966316098 is an abundant number, since it is smaller than the sum of its proper divisors (60605757387198).

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

45816966316098 is a wasteful number, since it uses less digits than its factorization.

45816966316098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550731 (or 550716 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 72.

The spelling of 45816966316098 in words is "forty-five trillion, eight hundred sixteen billion, nine hundred sixty-six million, three hundred sixteen thousand, ninety-eight".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 243 279 486 558 729 837 1458 1674 1847 2511 3694 5022 5541 7533 11082 15066 16623 22599 33246 45198 49869 57257 99738 114514 149607 171771 299214 343542 448821 515313 548833 897642 1030626 1097666 1346463 1545939 1646499 2692926 3091878 3292998 4637817 4939497 9275634 9878994 13913451 14818491 17013823 27826902 29636982 34027646 41740353 44455473 51041469 83480706 88910946 102082938 133366419 153124407 266732838 306248814 400099257 459373221 800198514 918746442 1013694551 1378119663 2027389102 2756239326 3041083653 4134358989 6082167306 8268717978 9123250959 12403076967 18246501918 24806153934 27369752877 31424531081 54739505754 62849062162 82109258631 94273593243 164218517262 188547186486 246327775893 282820779729 492655551786 565641559458 738983327679 848462339187 1477966655358 1696924678374 2545387017561 5090774035122 7636161052683 15272322105366 22908483158049 45816966316098