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153400326452664 = 233597311031345441
BaseRepresentation
bin100010111000010001001011…
…111101110111010110111000
3202010010221001111120221201220
4202320101023331313112320
5130101302332032441124
61302131045340512040
744211544043543514
oct4270211375672670
9663127044527656
10153400326452664
1144972793165025
1215256016b4b620
1367797865373b5
1429c48889b3144
1512b0464053879
hex8b844bf775b8

153400326452664 has 128 divisors (see below), whose sum is σ = 395702026675200. Its totient is φ = 49533202391040.

The previous prime is 153400326452647. The next prime is 153400326452699. The reversal of 153400326452664 is 466254623004351.

153400326452664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 113342184 + ... + 114687624.

It is an arithmetic number, because the mean of its divisors is an integer number (3091422083400).

Almost surely, 2153400326452664 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 153400326452664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197851013337600).

153400326452664 is an abundant number, since it is smaller than the sum of its proper divisors (242301700222536).

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

153400326452664 is a wasteful number, since it uses less digits than its factorization.

153400326452664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346685 (or 1346681 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 51.

The spelling of 153400326452664 in words is "one hundred fifty-three trillion, four hundred billion, three hundred twenty-six million, four hundred fifty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 59 73 118 146 177 219 236 292 354 438 472 584 708 876 1103 1416 1752 2206 3309 4307 4412 6618 8614 8824 12921 13236 17228 25842 26472 34456 51684 65077 80519 103368 130154 161038 195231 241557 260308 322076 390462 483114 520616 644152 780924 966228 1345441 1561848 1932456 2690882 4036323 4750621 5381764 8072646 9501242 10763528 14251863 16145292 19002484 28503726 32290584 38004968 57007452 79381019 98217193 114014904 158762038 196434386 238143057 294651579 317524076 392868772 476286114 589303158 635048152 785737544 952572228 1178606316 1484021423 1905144456 2357212632 2968042846 4452064269 5794814387 5936085692 8904128538 11589628774 11872171384 17384443161 17808257076 23179257548 34768886322 35616514152 46358515096 69537772644 87557263957 108333563879 139075545288 175114527914 216667127758 262671791871 325000691637 350229055828 433334255516 525343583742 650001383274 700458111656 866668511032 1050687167484 1300002766548 2101374334968 2600005533096 6391680268861 12783360537722 19175040806583 25566721075444 38350081613166 51133442150888 76700163226332 153400326452664