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45241176372820 = 22529316593818201
BaseRepresentation
bin10100100100101100010000…
…01111110011011001010100
312221012000101100221021212021
422102112020033303121110
521412212412122412240
6240115302015302524
712346365345125101
oct1222261017633124
9187160340837767
1045241176372820
111346274769a10a
1250a806251aa44
131c322bc67152c
14b2598284daa8
15536c607b954a
hex2925883f3654

45241176372820 has 96 divisors (see below), whose sum is σ = 101606937062400. Its totient is φ = 16883164032000.

The previous prime is 45241176372761. The next prime is 45241176372863. The reversal of 45241176372820 is 2827367114254.

It is a super-2 number, since 2×452411763728202 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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, 9939720 + ... + 13757920.

It is an arithmetic number, because the mean of its divisors is an integer number (1058405594400).

Almost surely, 245241176372820 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 45241176372820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50803468531200).

45241176372820 is an abundant number, since it is smaller than the sum of its proper divisors (56365760689580).

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

45241176372820 is a wasteful number, since it uses less digits than its factorization.

45241176372820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3818929 (or 3818927 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 52.

The spelling of 45241176372820 in words is "forty-five trillion, two hundred forty-one billion, one hundred seventy-six million, three hundred seventy-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 29 31 58 62 116 124 145 155 290 310 580 620 659 899 1318 1798 2636 3295 3596 4495 6590 8990 13180 17980 19111 20429 38222 40858 76444 81716 95555 102145 191110 204290 382220 408580 592441 1184882 2369764 2962205 3818201 5924410 7636402 11848820 15272804 19091005 38182010 76364020 110727829 118364231 221455658 236728462 442911316 473456924 553639145 591821155 1107278290 1183642310 2214556580 2367284620 2516194459 3432562699 5032388918 6865125398 10064777836 12580972295 13730250796 17162813495 25161944590 34325626990 50323889180 68651253980 72969639311 78002028229 145939278622 156004056458 291878557244 312008112916 364848196555 390010141145 729696393110 780020282290 1459392786220 1560040564580 2262058818641 4524117637282 9048235274564 11310294093205 22620588186410 45241176372820