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1690338407100 = 2235272692992279
BaseRepresentation
bin11000100110010000000…
…001010011001010111100
312222121001120221001100220
4120212100001103022330
5210143303113011400
63332310350221340
7233060106252150
oct30462001231274
95877046831326
101690338407100
115a1960a66872
12233722ab4850
13c3523ba28b5
145bb54519060
152de825097a0
hex189900532bc

1690338407100 has 144 divisors (see below), whose sum is σ = 5610165926400. Its totient is φ = 384926641920.

The previous prime is 1690338407057. The next prime is 1690338407101. The reversal of 1690338407100 is 17048330961.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1690338407101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 931240 + ... + 2061039.

It is an arithmetic number, because the mean of its divisors is an integer number (38959485600).

Almost surely, 21690338407100 is an apocalyptic number.

1690338407100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1690338407100 is an abundant number, since it is smaller than the sum of its proper divisors (3919827519300).

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

1690338407100 is a wasteful number, since it uses less digits than its factorization.

1690338407100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2992572 (or 2992565 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 1690338407100 in words is "one trillion, six hundred ninety billion, three hundred thirty-eight million, four hundred seven thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 269 300 350 420 525 538 700 807 1050 1076 1345 1614 1883 2100 2690 3228 3766 4035 5380 5649 6725 7532 8070 9415 11298 13450 16140 18830 20175 22596 26900 28245 37660 40350 47075 56490 80700 94150 112980 141225 188300 282450 564900 2992279 5984558 8976837 11969116 14961395 17953674 20945953 29922790 35907348 41891906 44884185 59845580 62837859 74806975 83783812 89768370 104729765 125675718 149613950 179536740 209459530 224420925 251351436 299227900 314189295 418919060 448841850 523648825 628378590 804923051 897683700 1047297650 1256757180 1570946475 1609846102 2094595300 2414769153 3141892950 3219692204 4024615255 4829538306 5634461357 6283785900 8049230510 9659076612 11268922714 12073845765 16098461020 16903384071 20123076275 22537845428 24147691530 28172306785 33806768142 40246152550 48295383060 56344613570 60369228825 67613536284 80492305100 84516920355 112689227140 120738457650 140861533925 169033840710 241476915300 281723067850 338067681420 422584601775 563446135700 845169203550 1690338407100