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413043409999948 = 2271337162171891133
BaseRepresentation
bin101110111101010010010100…
…1101110101101100001001100
32000011110120020102100010110011
41131322210221232231201030
5413114300400424444243
64022245304550323004
7153000254514421450
oct13572445156554114
92004416212303404
10413043409999948
1110a6767a9a1a902
123a3aa6b6359464
1314961a988a3070
1473dd59ca8c660
1532b431882c89d
hex177a929bad84c

413043409999948 has 96 divisors (see below), whose sum is σ = 913732890827904. Its totient is φ = 158975636318208.

The previous prime is 413043409999907. The next prime is 413043409999981. The reversal of 413043409999948 is 849999904340314.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217464990 + ... + 219356122.

It is an arithmetic number, because the mean of its divisors is an integer number (9518050946124).

Almost surely, 2413043409999948 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 413043409999948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456866445413952).

413043409999948 is an abundant number, since it is smaller than the sum of its proper divisors (500689480827956).

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

413043409999948 is a wasteful number, since it uses less digits than its factorization.

413043409999948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907411 (or 1907409 counting only the distinct ones).

The product of its (nonzero) digits is 1088391168, while the sum is 76.

The spelling of 413043409999948 in words is "four hundred thirteen trillion, forty-three billion, four hundred nine million, nine hundred ninety-nine thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 13 14 26 28 37 52 74 91 148 182 259 364 481 518 962 1036 1924 3367 6734 13468 16217 32434 64868 113519 210821 227038 421642 454076 600029 843284 1200058 1475747 1891133 2400116 2951494 3782266 4200203 5902988 7564532 7800377 8400406 13237931 15600754 16800812 24584729 26475862 31201508 49169458 52951724 54602639 69971921 98338916 109205278 139943842 172093103 218410556 279887684 344186206 489803447 688372412 909634973 979606894 1819269946 1959213788 3638539892 6367444811 12734889622 25469779244 30668503861 61337007722 122674015444 214679527027 398690550193 429359054054 797381100386 858718108108 1134734642857 1594762200772 2269469285714 2790833851351 4538938571428 5581667702702 7943142499999 11163335405404 14751550357141 15886284999998 29503100714282 31772569999996 59006201428564 103260852499987 206521704999974 413043409999948