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1672434525630 = 2351119677393997
BaseRepresentation
bin11000010101100100110…
…111011010010110111110
312220212211211121122011210
4120111210313122112332
5204400121214310010
63320150020025250
7231554325625041
oct30254467322676
95825754548153
101672434525630
11595303764710
12230166b32226
13c192c8571ab
145ad3678cc58
152d7857dab20
hex18564dda5be

1672434525630 has 128 divisors (see below), whose sum is σ = 4616017528320. Its totient is φ = 383531466240.

The previous prime is 1672434525607. The next prime is 1672434525659. The reversal of 1672434525630 is 365254342761.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1672434525630.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4047792 + ... + 4441788.

It is an arithmetic number, because the mean of its divisors is an integer number (36062636940).

Almost surely, 21672434525630 is an apocalyptic number.

1672434525630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1672434525630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308008764160).

1672434525630 is an abundant number, since it is smaller than the sum of its proper divisors (2943583002690).

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

1672434525630 is a wasteful number, since it uses less digits than its factorization.

1672434525630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394714.

The product of its (nonzero) digits is 3628800, while the sum is 48.

The spelling of 1672434525630 in words is "one trillion, six hundred seventy-two billion, four hundred thirty-four million, five hundred twenty-five thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 418 570 627 677 1045 1254 1354 2031 2090 3135 3385 4062 6270 6770 7447 10155 12863 14894 20310 22341 25726 37235 38589 44682 64315 74470 77178 111705 128630 141493 192945 223410 282986 385890 393997 424479 707465 787994 848958 1181991 1414930 1969985 2122395 2363982 3939970 4244790 4333967 5909955 7485943 8667934 11819910 13001901 14971886 21669835 22457829 26003802 37429715 43339670 44915658 65009505 74859430 82345373 112289145 130019010 164690746 224578290 247036119 266735969 411726865 494072238 533471938 800207907 823453730 1235180595 1333679845 1600415814 2470361190 2667359690 2934095659 4001039535 5067983411 5868191318 8002079070 8802286977 10135966822 14670478295 15203950233 17604573954 25339917055 29340956590 30407900466 44011434885 50679834110 55747817521 76019751165 88022869770 111495635042 152039502330 167243452563 278739087605 334486905126 557478175210 836217262815 1672434525630