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1906030128896 = 28378910920743
BaseRepresentation
bin11011101111001000001…
…111111010111100000000
320202012210111221210110122
4123233020033322330000
5222212022203111041
64015341304315412
7254464126531205
oct33571017727400
96665714853418
101906030128896
11675385354893
12269499772b68
1310a97913c24a
1468376641cac
15348a837cc4b
hex1bbc83faf00

1906030128896 has 144 divisors (see below), whose sum is σ = 3987789220800. Its totient is φ = 908384108544.

The previous prime is 1906030128833. The next prime is 1906030128923. The reversal of 1906030128896 is 6988210306091.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91877501 + ... + 91898243.

It is an arithmetic number, because the mean of its divisors is an integer number (27692980700).

Almost surely, 21906030128896 is an apocalyptic number.

1906030128896 is a gapful number since it is divisible by the number (16) 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 1906030128896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1993894610400).

1906030128896 is an abundant number, since it is smaller than the sum of its proper divisors (2081759091904).

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

1906030128896 is a wasteful number, since it uses less digits than its factorization.

1906030128896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20994 (or 20980 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 53.

The spelling of 1906030128896 in words is "one trillion, nine hundred six billion, thirty million, one hundred twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 37 64 74 89 109 128 148 178 218 256 296 356 436 592 712 872 1184 1424 1744 2368 2848 3293 3488 4033 4736 5696 6586 6976 8066 9472 9701 11392 13172 13952 16132 19402 20743 22784 26344 27904 32264 38804 41486 52688 64528 77608 82972 105376 129056 155216 165944 210752 258112 310432 331888 358937 421504 516224 620864 663776 717874 767491 843008 1032448 1241728 1327552 1435748 1534982 1846127 2260987 2483456 2655104 2871496 3069964 3692254 4521974 5310208 5742992 6139928 7384508 9043948 11485984 12279856 14769016 18087896 22971968 24559712 29538032 36175792 45943936 49119424 59076064 68306699 72351584 83656519 91887872 98238848 118152128 136613398 144703168 167313038 196477696 201227843 236304256 273226796 289406336 334626076 402455686 472608512 546453592 578812672 669252152 804911372 1092907184 1338504304 1609822744 2185814368 2677008608 3219645488 4371628736 5354017216 6439290976 7445430191 8743257472 10708034432 12878581952 14890860382 17486514944 21416068864 25757163904 29781720764 51514327808 59563441528 119126883056 238253766112 476507532224 953015064448 1906030128896