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1457398001748 = 2231364130374799
BaseRepresentation
bin10101001101010011101…
…100001011000001010100
312011022210120110101122110
4111031103230023001110
5142334222342023443
63033304105031020
7210202452422013
oct25152354130124
95138716411573
101457398001748
115120961a5577
121b6553785470
13a7580271710
145077769aa7a
1527d9c23a233
hex15353b0b054

1457398001748 has 96 divisors (see below), whose sum is σ = 3669865113600. Its totient is φ = 447489884160.

The previous prime is 1457398001693. The next prime is 1457398001821. The reversal of 1457398001748 is 8471008937541.

It is a super-2 number, since 2×14573980017482 (a number of 25 digits) contains 22 as substring.

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, 303685453 + ... + 303690251.

It is an arithmetic number, because the mean of its divisors is an integer number (38227761600).

Almost surely, 21457398001748 is an apocalyptic number.

It is an amenable number.

1457398001748 is an abundant number, since it is smaller than the sum of its proper divisors (2212467111852).

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

1457398001748 is a wasteful number, since it uses less digits than its factorization.

1457398001748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8497 (or 8495 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 57.

The spelling of 1457398001748 in words is "one trillion, four hundred fifty-seven billion, three hundred ninety-eight million, one thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 641 1282 1923 2564 3037 3846 4799 6074 7692 8333 9111 9598 12148 14397 16666 18222 19196 24999 28794 33332 36444 39481 49998 57588 62387 78962 99996 118443 124774 157924 187161 236886 249548 374322 473772 748644 1946717 3076159 3893434 5840151 6152318 7786868 9228477 11680302 12304636 14574563 18456954 23360604 25307321 29149126 36913908 39990067 43723689 50614642 58298252 75921963 79980134 87447378 101229284 119970201 151843926 159960268 174894756 189469319 239940402 303687852 378938638 479880804 568407957 757877276 1136815914 2273631828 9342294883 18684589766 28026884649 37369179532 56053769298 112107538596 121449833479 242899666958 364349500437 485799333916 728699000874 1457398001748