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1133415451332 = 2232373532410517
BaseRepresentation
bin10000011111100100110…
…100110100101011000100
311000100112200010120112100
4100133210310310223010
5122032213323420312
62224403414352100
7144613043243313
oct20374464645304
94010480116470
101133415451332
113a775152417a
121637b665b630
1382b5a946098
143cc0138227a
151e7393855dc
hex107e4d34ac4

1133415451332 has 72 divisors (see below), whose sum is σ = 2950792220376. Its totient is φ = 366552705024.

The previous prime is 1133415451313. The next prime is 1133415451339. The reversal of 1133415451332 is 2331545143311.

1133415451332 is a `hidden beast` number, since 1 + 1 + 33 + 41 + 545 + 13 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 427119759936 + 706295691396 = 653544^2 + 840414^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1133415451339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 735063 + ... + 1675454.

It is an arithmetic number, because the mean of its divisors is an integer number (40983225283).

Almost surely, 21133415451332 is an apocalyptic number.

1133415451332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1133415451332 is an abundant number, since it is smaller than the sum of its proper divisors (1817376769044).

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

1133415451332 is a wasteful number, since it uses less digits than its factorization.

1133415451332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410917 (or 2410912 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The spelling of 1133415451332 in words is "one trillion, one hundred thirty-three billion, four hundred fifteen million, four hundred fifty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 353 444 666 706 1059 1332 1412 2118 3177 4236 6354 12708 13061 26122 39183 52244 78366 117549 156732 235098 470196 2410517 4821034 7231551 9642068 14463102 21694653 28926204 43389306 86778612 89189129 178378258 267567387 356756516 535134774 802702161 850912501 1070269548 1605404322 1701825002 2552737503 3210808644 3403650004 5105475006 7658212509 10210950012 15316425018 30632850036 31483762537 62967525074 94451287611 125935050148 188902575222 283353862833 377805150444 566707725666 1133415451332