Search a number
-
+
1372550490480 = 243513751585779
BaseRepresentation
bin10011111110010010011…
…000100110100101110000
311212012210101220020022010
4103332102120212211300
5134441440411143410
62530312504242520
7201110036446341
oct23762230464560
94765711806263
101372550490480
1148a105a73534
121a2014470440
139c57aa6b950
144a608bd60c8
1525a833d6c20
hex13f92626970

1372550490480 has 160 divisors (see below), whose sum is σ = 4588316328960. Its totient is φ = 337408128000.

The previous prime is 1372550490473. The next prime is 1372550490527. The reversal of 1372550490480 is 840940552731.

It is a Cunningham number, because it is equal to 11715592-1.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 2050231 + ... + 2636009.

It is an arithmetic number, because the mean of its divisors is an integer number (28676977056).

Almost surely, 21372550490480 is an apocalyptic number.

1372550490480 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 1372550490480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294158164480).

1372550490480 is an abundant number, since it is smaller than the sum of its proper divisors (3215765838480).

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

1372550490480 is a wasteful number, since it uses less digits than its factorization.

1372550490480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586559 (or 586553 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 1372550490480 in words is "one trillion, three hundred seventy-two billion, five hundred fifty million, four hundred ninety thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 751 780 1040 1502 1560 2253 3004 3120 3755 4506 6008 7510 9012 9763 11265 12016 15020 18024 19526 22530 29289 30040 36048 39052 45060 48815 58578 60080 78104 90120 97630 117156 146445 156208 180240 195260 234312 292890 390520 468624 585779 585780 781040 1171558 1171560 1757337 2343116 2343120 2928895 3514674 4686232 5857790 7029348 7615127 8786685 9372464 11715580 14058696 15230254 17573370 22845381 23431160 28117392 30460508 35146740 38075635 45690762 46862320 60921016 70293480 76151270 91381524 114226905 121842032 140586960 152302540 182763048 228453810 304605080 365526096 439920029 456907620 609210160 879840058 913815240 1319760087 1759680116 1827630480 2199600145 2639520174 3519360232 4399200290 5279040348 5718960377 6598800435 7038720464 8798400580 10558080696 11437920754 13197600870 17156881131 17596801160 21116161392 22875841508 26395201740 28594801885 34313762262 35193602320 45751683016 52790403480 57189603770 68627524524 85784405655 91503366032 105580806960 114379207540 137255049048 171568811310 228758415080 274510098096 343137622620 457516830160 686275245240 1372550490480