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155400012054 = 233713125112503
BaseRepresentation
bin1001000010111010010…
…0000000000100010110
3112212010002112112211000
42100232210000010112
510021224400341204
6155220105324130
714140646210430
oct2205644000426
9485102475730
10155400012054
115a9a528a131
122614b196646
1311867254c71
147742a1b650
154097bed039
hex242e900116

155400012054 has 128 divisors (see below), whose sum is σ = 399295733760. Its totient is φ = 43882020000.

The previous prime is 155400012037. The next prime is 155400012071. The reversal of 155400012054 is 450210004551.

155400012054 is a `hidden beast` number, since 1 + 55 + 400 + 0 + 1 + 205 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (155400012037) and next prime (155400012071).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12422767 + ... + 12435269.

It is an arithmetic number, because the mean of its divisors is an integer number (3119497920).

Almost surely, 2155400012054 is an apocalyptic number.

155400012054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 155400012054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199647866880).

155400012054 is an abundant number, since it is smaller than the sum of its proper divisors (243895721706).

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

155400012054 is a wasteful number, since it uses less digits than its factorization.

155400012054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12903 (or 12897 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 155400012054 in words is "one hundred fifty-five billion, four hundred million, twelve thousand, fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 131 189 251 262 378 393 502 753 786 917 1179 1506 1757 1834 2259 2358 2751 3514 3537 4518 5271 5502 6777 7074 8253 10542 12503 13554 15813 16506 24759 25006 31626 32881 37509 47439 49518 65762 75018 87521 94878 98643 112527 175042 197286 225054 230167 262563 295929 337581 460334 525126 591858 675162 690501 787689 887787 1381002 1575378 1637893 1775574 2071503 2363067 3138253 3275786 4143006 4726134 4913679 6214509 6276506 9414759 9827358 11465251 12429018 14741037 18829518 21967771 22930502 28244277 29482074 34395753 43935542 44223111 56488554 65903313 68791506 84732831 88446222 103187259 131806626 169465662 197709939 206374518 309561777 395419878 411111143 593129817 619123554 822222286 1186259634 1233333429 2466666858 2877778001 3700000287 5755556002 7400000574 8633334003 11100000861 17266668006 22200001722 25900002009 51800004018 77700006027 155400012054