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5019542137960 = 2357235437143357
BaseRepresentation
bin100100100001011010000…
…0001101010110001101000
3122202212022112002121000121
41021002310001222301220
51124220010241403320
614401540144213024
71025435635123240
oct111026401526150
918685275077017
105019542137960
11166585974aaa9
126909a260a174
132a545794b7cc
14134d38d24b20
158a8831998aa
hex490b406ac68

5019542137960 has 128 divisors (see below), whose sum is σ = 13471156293120. Its totient is φ = 1645846152192.

The previous prime is 5019542137949. The next prime is 5019542137993. The reversal of 5019542137960 is 697312459105.

It is a junction number, because it is equal to n+sod(n) for n = 5019542137898 and 5019542137907.

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, 34942602 + ... + 35085958.

It is an arithmetic number, because the mean of its divisors is an integer number (105243408540).

Almost surely, 25019542137960 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 5019542137960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6735578146560).

5019542137960 is an abundant number, since it is smaller than the sum of its proper divisors (8451614155160).

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

5019542137960 is a wasteful number, since it uses less digits than its factorization.

5019542137960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148835 (or 148831 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 52.

The spelling of 5019542137960 in words is "five trillion, nineteen billion, five hundred forty-two million, one hundred thirty-seven thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 920 1288 1610 3220 5437 6440 10874 21748 27185 38059 43496 54370 76118 108740 125051 143357 152236 190295 217480 250102 286714 304472 380590 500204 573428 625255 716785 761180 875357 1000408 1003499 1146856 1250510 1433570 1522360 1750714 2006998 2501020 2867140 3297211 3501428 4013996 4376785 5002040 5017495 5734280 6594422 7002856 8027992 8753570 10034990 13188844 16486055 17507140 20069980 23080477 26377688 32972110 35014280 40139960 46160954 65944220 92321908 115402385 131888440 184643816 230804770 461609540 779432009 923219080 1558864018 3117728036 3897160045 5456024063 6235456072 7794320090 10912048126 15588640180 17926936207 21824096252 27280120315 31177280360 35853872414 43648192504 54560240630 71707744828 89634681035 109120481260 125488553449 143415489656 179269362070 218240962520 250977106898 358538724140 501954213796 627442767245 717077448280 1003908427592 1254885534490 2509771068980 5019542137960