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45234250211151 = 34296712710972063
BaseRepresentation
bin10100100100011111010110…
…11010100101111101001111
312221011100111200010211020000
422102033223122211331033
521412104221023224101
6240112154435455343
712346031613536661
oct1222175332457517
9187140450124200
1045234250211151
111345a812a98361
1250a684aa57553
131c3175774c211
14b254c6a34531
155369a76d8486
hex2923eb6a5f4f

45234250211151 has 160 divisors (see below), whose sum is σ = 71604042301440. Its totient is φ = 28416166377984.

The previous prime is 45234250211141. The next prime is 45234250211159. The reversal of 45234250211151 is 15111205243254.

45234250211151 is a `hidden beast` number, since 4 + 5 + 2 + 3 + 425 + 0 + 211 + 15 + 1 = 666.

It is not a de Polignac number, because 45234250211151 - 213 = 45234250202959 is a prime.

It is a super-2 number, since 2×452342502111512 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45234250211159) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 21926441146 + ... + 21926443208.

It is an arithmetic number, because the mean of its divisors is an integer number (447525264384).

Almost surely, 245234250211151 is an apocalyptic number.

45234250211151 is a deficient number, since it is larger than the sum of its proper divisors (26369792090289).

45234250211151 is a wasteful number, since it uses less digits than its factorization.

45234250211151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3395 (or 3386 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 45234250211151 in words is "forty-five trillion, two hundred thirty-four billion, two hundred fifty million, two hundred eleven thousand, one hundred fifty-one".

Divisors: 1 3 9 27 29 67 81 87 127 201 261 381 603 783 1097 1143 1809 1943 2063 2349 3291 3429 3683 5427 5829 6189 8509 9873 10287 11049 17487 18567 25527 29619 31813 33147 52461 55701 59827 73499 76581 88857 95439 99441 138221 139319 157383 167103 179481 220497 229743 246761 262001 286317 298323 414663 417957 538443 661491 689229 740283 786003 858951 1243989 1253871 1615329 1984473 2131471 2220849 2263111 2358009 2576853 3731967 3761613 4008409 4040251 4845987 5953419 6394413 6662547 6789333 7074027 7598029 9334373 11195901 11284839 12025227 12120753 17554067 19183239 19987641 20367999 21222081 22794087 28003119 36075681 36362259 52662201 57549717 61103997 65630219 68382261 84009357 108227043 109086777 151628437 157986603 172649151 183311991 196890657 205146783 252028071 270696817 287415097 324681129 327260331 454885311 473959809 509067943 590671971 615440349 756084213 812090451 862245291 1364655933 1421879427 1527203829 1772015913 2436271353 2586735873 4093967799 4397224673 4581611487 5316047739 7308814059 7760207619 8335037813 12281903397 13191674019 13744834461 19256811499 21926442177 23280622857 25005113439 39575022057 41234503383 57770434497 75015340317 118725066171 173311303491 225046020951 356175198513 519933910473 558447533471 675138062853 1559801731419 1675342600413 5026027801239 15078083403717 45234250211151