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45234929454416 = 24132967138112527
BaseRepresentation
bin10100100100100000100111…
…11001101100110101010000
312221011102021000020221210222
422102100103321230311100
521412112113420020131
6240112350102212212
712346054502161022
oct1222202371546520
9187142230227728
1045234929454416
111346003144a929
1250a69ba424068
131c318353a1900
14b2554cd28012
155369e715a87b
hex292413e6cd50

45234929454416 has 120 divisors (see below), whose sum is σ = 95077538290944. Its totient is φ = 20839303779840.

The previous prime is 45234929454409. The next prime is 45234929454431. The reversal of 45234929454416 is 61445492943254.

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, 3610988345 + ... + 3611000871.

Almost surely, 245234929454416 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 45234929454416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47538769145472).

45234929454416 is an abundant number, since it is smaller than the sum of its proper divisors (49842608836528).

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

45234929454416 is a wasteful number, since it uses less digits than its factorization.

45234929454416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14909 (or 14890 counting only the distinct ones).

The product of its digits is 149299200, while the sum is 62.

The spelling of 45234929454416 in words is "forty-five trillion, two hundred thirty-four billion, nine hundred twenty-nine million, four hundred fifty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 967 1352 1381 1934 2704 2762 3868 5524 7736 11048 12527 12571 15472 17953 22096 25054 25142 35906 50108 50284 71812 100216 100568 143624 162851 163423 200432 201136 233389 287248 325702 326846 466778 651404 653692 933556 1302808 1307384 1335427 1867112 2117063 2605616 2614768 2670854 3734224 4234126 5341708 8468252 10683416 12113609 16936504 17299787 17360551 21366832 24227218 33873008 34599574 34721102 48454436 69199148 69442204 96908872 138398296 138884408 157476917 193817744 224897231 225687163 276796592 277768816 314953834 449794462 451374326 629907668 899588924 902748652 1259815336 1799177848 1805497304 2047199921 2519630672 2923664003 3598355696 3610994608 4094399842 5847328006 8188799684 11694656012 16377599368 16728894029 23389312024 32755198736 33457788058 46778624048 66915576116 133831152232 217475622377 267662304464 434951244754 869902489508 1739804979016 2827183090901 3479609958032 5654366181802 11308732363604 22617464727208 45234929454416