Search a number
-
+
153553540764 = 223134767312581
BaseRepresentation
bin1000111100000010000…
…0010001011010011100
3112200100102002002101110
42033000200101122130
510003434201301024
6154312545142020
714044125363261
oct2170040213234
9480312062343
10153553540764
115a137a749a8
122591492a910
13116318439c0
1476096c9268
153edaa65629
hex23c081169c

153553540764 has 96 divisors (see below), whose sum is σ = 399944918016. Its totient is φ = 45551658240.

The previous prime is 153553540739. The next prime is 153553540771. The reversal of 153553540764 is 467045355351.

It is a happy number.

It is a super-2 number, since 2×1535535407642 (a number of 23 digits) contains 22 as substring.

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, 334954 + ... + 647534.

It is an arithmetic number, because the mean of its divisors is an integer number (4166092896).

Almost surely, 2153553540764 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 153553540764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199972459008).

153553540764 is an abundant number, since it is smaller than the sum of its proper divisors (246391377252).

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

153553540764 is a wasteful number, since it uses less digits than its factorization.

153553540764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312715 (or 312713 counting only the distinct ones).

The product of its (nonzero) digits is 3780000, while the sum is 48.

The spelling of 153553540764 in words is "one hundred fifty-three billion, five hundred fifty-three million, five hundred forty thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 39 47 52 67 78 94 134 141 156 188 201 268 282 402 564 611 804 871 1222 1742 1833 2444 2613 3149 3484 3666 5226 6298 7332 9447 10452 12596 18894 37788 40937 81874 122811 163748 245622 312581 491244 625162 937743 1250324 1875486 3750972 4063553 8127106 12190659 14691307 16254212 20942927 24381318 29382614 41885854 44073921 48762636 58765228 62828781 83771708 88147842 125657562 176295684 190986991 251315124 272258051 381973982 544516102 572960973 763947964 816774153 984317569 1089032204 1145921946 1633548306 1968635138 2291843892 2952952707 3267096612 3937270276 5905905414 11811810828 12796128397 25592256794 38388385191 51184513588 76776770382 153553540764