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3919020114672 = 2433135851119267
BaseRepresentation
bin111001000001110111110…
…011010100001011110000
3111212122200020202021222000
4321001313303110023300
51003202123122132142
612200212322014000
7553065654225015
oct71016763241360
914778606667860
103919020114672
111281057760203
12533647aa7300
1322573c97a120
14d79783b170c
156be2198014c
hex39077cd42f0

3919020114672 has 160 divisors (see below), whose sum is σ = 12116521992960. Its totient is φ = 1205636140800.

The previous prime is 3919020114617. The next prime is 3919020114689. The reversal of 3919020114672 is 2764110209193.

3919020114672 is a `hidden beast` number, since 3 + 91 + 90 + 2 + 0 + 11 + 467 + 2 = 666.

3919020114672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 32799583 + ... + 32918849.

It is an arithmetic number, because the mean of its divisors is an integer number (75728262456).

Almost surely, 23919020114672 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 3919020114672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6058260996480).

3919020114672 is an abundant number, since it is smaller than the sum of its proper divisors (8197501878288).

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

3919020114672 is a wasteful number, since it uses less digits than its factorization.

3919020114672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125148 (or 125136 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 3919020114672 in words is "three trillion, nine hundred nineteen billion, twenty million, one hundred fourteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 5851 11702 17553 23404 35106 46808 52659 70212 76063 93616 105318 119267 140424 152126 157977 210636 228189 238534 280848 304252 315954 357801 421272 456378 477068 608504 631908 684567 715602 842544 912756 954136 1073403 1217008 1263816 1369134 1431204 1550471 1825512 1908272 2053701 2146806 2527632 2738268 2862408 3100942 3220209 3651024 4107402 4293612 4651413 5476536 5724816 6201884 6440418 8214804 8587224 9302826 10953072 12403768 12880836 13954239 16429608 17174448 18605652 24807536 25761672 27908478 32859216 37211304 41862717 51523344 55816956 74422608 83725434 111633912 167450868 223267824 334901736 669803472 697831217 1395662434 2093493651 2791324868 4186987302 5582649736 6280480953 8373974604 9071805821 11165299472 12560961906 16747949208 18143611642 18841442859 25121923812 27215417463 33495898416 36287223284 37682885718 50243847624 54430834926 72574446568 75365771436 81646252389 100487695248 108861669852 145148893136 150731542872 163292504778 217723339704 244938757167 301463085744 326585009556 435446679408 489877514334 653170019112 979755028668 1306340038224 1959510057336 3919020114672