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45016343999406 = 23813953276907
BaseRepresentation
bin10100011110001001011110…
…01100010111001110101110
312220101112001102011100000000
422033010233030113032232
521400021433030440111
6235424120053245130
712324215653362003
oct1217045714271656
9186345042140000
1045016343999406
111338636268325a
1250705766337a6
131c1703b779aa0
14b18b3477b8aa
15530ea2234c56
hex28f12f3173ae

45016343999406 has 144 divisors (see below), whose sum is σ = 109187368630704. Its totient is φ = 13836598505856.

The previous prime is 45016343999387. The next prime is 45016343999443. The reversal of 45016343999406 is 60499934361054.

45016343999406 is a `hidden beast` number, since 4 + 50 + 1 + 63 + 4 + 39 + 99 + 406 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 162430005 + ... + 162706911.

It is an arithmetic number, because the mean of its divisors is an integer number (758245615491).

Almost surely, 245016343999406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45016343999406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54593684315352).

45016343999406 is an abundant number, since it is smaller than the sum of its proper divisors (64171024631298).

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

45016343999406 is an equidigital number, since it uses as much as digits as its factorization.

45016343999406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277899 (or 277878 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 63.

The spelling of 45016343999406 in words is "forty-five trillion, sixteen billion, three hundred forty-three million, nine hundred ninety-nine thousand, four hundred six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 702 729 953 1053 1458 1906 2106 2187 2859 3159 4374 5718 6318 6561 8577 9477 12389 13122 17154 18954 24778 25731 28431 37167 51462 56862 74334 77193 85293 111501 154386 170586 223002 231579 276907 334503 463158 553814 669006 694737 830721 1003509 1389474 1661442 2007018 2084211 2492163 3010527 3599791 4168422 4984326 6021054 6252633 7199582 7476489 9031581 10799373 12505266 14952978 18063162 21598746 22429467 27094743 32398119 44858934 54189486 64796238 67288401 81284229 97194357 134576802 162568458 194388714 201865203 263892371 291583071 403730406 527784742 583166142 605595609 791677113 874749213 1211191218 1583354226 1749498426 1816786827 2375031339 2624247639 3430600823 3633573654 4750062678 5248495278 6861201646 7125094017 7872742917 10291802469 14250188034 15745485834 20583604938 21375282051 23618228751 30875407407 42750564102 47236457502 61750814814 64125846153 92626222221 128251692306 185252444442 192377538459 277878666663 384755076918 555757333326 577132615377 833635999989 1154265230754 1667271999978 1731397846131 2500907999967 3462795692262 5001815999934 7502723999901 15005447999802 22508171999703 45016343999406