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134949601644 = 2231121333121599
BaseRepresentation
bin111110110101110011…
…1111000000101101100
3110220022212111001122020
41331223213320011230
54202334044223034
6141554530150140
712515114454564
oct1755347700554
9426285431566
10134949601644
1152260594100
12221a2422350
13c9584688c0
1467629abda4
15379c662249
hex1f6b9f816c

134949601644 has 144 divisors (see below), whose sum is σ = 373877683200. Its totient is φ = 37632355200.

The previous prime is 134949601607. The next prime is 134949601669. The reversal of 134949601644 is 446106949431.

It is a super-2 number, since 2×1349496016442 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6237157 + ... + 6258755.

It is an arithmetic number, because the mean of its divisors is an integer number (2596372800).

Almost surely, 2134949601644 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 134949601644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186938841600).

134949601644 is an abundant number, since it is smaller than the sum of its proper divisors (238928081556).

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

134949601644 is a wasteful number, since it uses less digits than its factorization.

134949601644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21972 (or 21959 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 134949601644 in words is "one hundred thirty-four billion, nine hundred forty-nine million, six hundred one thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 121 132 143 156 242 286 331 363 429 484 572 662 726 858 993 1324 1452 1573 1716 1986 3146 3641 3972 4303 4719 6292 7282 8606 9438 10923 12909 14564 17212 18876 21599 21846 25818 40051 43198 43692 47333 51636 64797 80102 86396 94666 120153 129594 141999 160204 189332 237589 240306 259188 280787 283998 475178 480612 520663 561574 567996 712767 842361 950356 1041326 1123148 1425534 1561989 1684722 2082652 2613479 2851068 3088657 3123978 3369444 5226958 6177314 6247956 7149269 7840437 9265971 10453916 12354628 14298538 15680874 18531942 21447807 28597076 31361748 33975227 37063884 42895614 67950454 78641959 85791228 92940497 101925681 135900908 157283918 185880994 203851362 235925877 278821491 314567836 371761988 407702724 471851754 557642982 865061549 943703508 1022345467 1115285964 1730123098 2044690934 2595184647 3067036401 3460246196 4089381868 5190369294 6134072802 10380738588 11245800137 12268145604 22491600274 33737400411 44983200548 67474800822 134949601644