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30521075949 = 32721367181439
BaseRepresentation
bin11100011011001100…
…101010100011101101
32220210001210022012100
4130123030222203231
51000001343412244
622004324325313
72130224602500
oct343314524355
986701708170
1030521075949
1111a42396111
125ab9543839
132b55319270
141697729137
15bd9756b69
hex71b32a8ed

30521075949 has 144 divisors (see below), whose sum is σ = 56490994560. Its totient is φ = 15735202560.

The previous prime is 30521075929. The next prime is 30521075957. The reversal of 30521075949 is 94957012503.

It is a happy number.

30521075949 is a `hidden beast` number, since 3 + 0 + 52 + 1 + 0 + 7 + 594 + 9 = 666.

It is not a de Polignac number, because 30521075949 - 25 = 30521075917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30521075929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 69523872 + ... + 69524310.

Almost surely, 230521075949 is an apocalyptic number.

30521075949 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

30521075949 is a deficient number, since it is larger than the sum of its proper divisors (25969918611).

30521075949 is a wasteful number, since it uses less digits than its factorization.

30521075949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 30521075949 in words is "thirty billion, five hundred twenty-one million, seventy-five thousand, nine hundred forty-nine".

Divisors: 1 3 7 9 13 21 39 49 63 67 91 117 147 181 201 273 439 441 469 543 603 637 819 871 1267 1317 1407 1629 1911 2353 2613 3073 3283 3801 3951 4221 5707 5733 6097 7059 7839 8869 9219 9849 11403 12127 16471 17121 18291 21177 21511 26607 27657 29413 29547 36381 39949 42679 49413 51363 54873 64533 79459 79821 84889 88239 109143 115297 119847 128037 148239 157651 193599 205891 238377 254667 264717 279643 345891 359541 382369 384111 472953 556213 594223 617673 715131 764001 838929 1032967 1037673 1103557 1147107 1418859 1441237 1668639 1782669 1853019 2516787 2676583 3098901 3310671 3441321 3893491 4323711 5005917 5323753 5348007 7230769 7724899 8029749 9296703 9932013 11680473 12971133 15971259 18736081 21692307 23174697 24089247 35041419 37266271 47913777 50615383 56208243 65076921 69208789 69524091 111798813 151846149 168624729 207626367 260863897 335396439 455538447 484461523 622879101 782591691 1453384569 2347775073 3391230661 4360153707 10173691983 30521075949