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45733946597472 = 2537261915706547
BaseRepresentation
bin10100110011000010000111…
…01001000010000001100000
312222221010022101001100210110
422121201003221002001200
521443301110312104342
6241133515055331320
712430111554666300
oct1231410351020140
9188833271040713
1045733946597472
1113632726633361
125167666220b40
131c69900a05413
14b4176b7c3600
155449a1846c9c
hex299843a42060

45733946597472 has 144 divisors (see below), whose sum is σ = 139877490392640. Its totient is φ = 13045731455232.

The previous prime is 45733946597407. The next prime is 45733946597509. The reversal of 45733946597472 is 27479564933754.

It is a junction number, because it is equal to n+sod(n) for n = 45733946597394 and 45733946597403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4941498 + ... + 10765049.

It is an arithmetic number, because the mean of its divisors is an integer number (971371461060).

Almost surely, 245733946597472 is an apocalyptic number.

45733946597472 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

45733946597472 is an abundant number, since it is smaller than the sum of its proper divisors (94143543795168).

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

45733946597472 is a wasteful number, since it uses less digits than its factorization.

45733946597472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15707193 (or 15707178 counting only the distinct ones).

The product of its digits is 4800902400, while the sum is 75.

The spelling of 45733946597472 in words is "forty-five trillion, seven hundred thirty-three billion, nine hundred forty-six million, five hundred ninety-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 619 672 784 1176 1238 1568 1857 2352 2476 3714 4333 4704 4952 7428 8666 9904 12999 14856 17332 19808 25998 29712 30331 34664 51996 59424 60662 69328 90993 103992 121324 138656 181986 207984 242648 363972 415968 485296 727944 970592 1455888 2911776 15706547 31413094 47119641 62826188 94239282 109945829 125652376 188478564 219891658 251304752 329837487 376957128 439783316 502609504 659674974 753914256 769620803 879566632 1319349948 1507828512 1539241606 1759133264 2308862409 2638699896 3078483212 3518266528 4617724818 5277399792 6156966424 9235449636 9722352593 10554799584 12313932848 18470899272 19444705186 24627865696 29167057779 36941798544 38889410372 58334115558 68056468151 73883597088 77778820744 116668231116 136112936302 155557641488 204169404453 233336462232 272225872604 311115282976 408338808906 466672924464 476395277057 544451745208 816677617812 933345848928 952790554114 1088903490416 1429185831171 1633355235624 1905581108228 2177806980832 2858371662342 3266710471248 3811162216456 5716743324684 6533420942496 7622324432912 11433486649368 15244648865824 22866973298736 45733946597472