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15106550480 = 2457313892237
BaseRepresentation
bin11100001000110101…
…11010101011010000
31102222210122021110122
432010122322223100
5221414234103410
610535001445412
71043232363140
oct160432725320
942883567418
1015106550480
116452287a6a
122b171a0868
131569944288
14a3443c920
155d635ee55
hex3846baad0

15106550480 has 160 divisors (see below), whose sum is σ = 41560197120. Its totient is φ = 4997191680.

The previous prime is 15106550467. The next prime is 15106550483. The reversal of 15106550480 is 8405560151.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 15106550480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15106550483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6751922 + ... + 6754158.

It is an arithmetic number, because the mean of its divisors is an integer number (259751232).

Almost surely, 215106550480 is an apocalyptic number.

15106550480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15106550480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20780098560).

15106550480 is an abundant number, since it is smaller than the sum of its proper divisors (26453646640).

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

15106550480 is a wasteful number, since it uses less digits than its factorization.

15106550480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2677 (or 2671 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 35.

The spelling of 15106550480 in words is "fifteen billion, one hundred six million, five hundred fifty thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 140 155 217 248 280 310 389 434 496 560 620 778 868 1085 1240 1556 1736 1945 2170 2237 2480 2723 3112 3472 3890 4340 4474 5446 6224 7780 8680 8948 10892 11185 12059 13615 15560 15659 17360 17896 21784 22370 24118 27230 31120 31318 35792 43568 44740 48236 54460 60295 62636 69347 78295 84413 89480 96472 108920 120590 125272 138694 156590 168826 178960 192944 217840 241180 250544 277388 313180 337652 346735 422065 482360 485429 554776 626360 675304 693470 844130 870193 964720 970858 1109552 1252720 1350608 1386940 1688260 1740386 1941716 2427145 2773880 3376520 3480772 3883432 4350965 4854290 5547760 6091351 6753040 6961544 7766864 8701930 9708580 12182702 13923088 17403860 19417160 24365404 26975983 30456755 34807720 38834320 48730808 53951966 60913510 69615440 97461616 107903932 121827020 134879915 188831881 215807864 243654040 269759830 377663762 431615728 487308080 539519660 755327524 944159405 1079039320 1510655048 1888318810 2158078640 3021310096 3776637620 7553275240 15106550480